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Study sets matching "algebra chapter 4 matrices"

8 terms
Algebra 2 Trig-chapter 4-matrices
Reflection over the x-axis
Reflection over the y-axis
Line y=x
Counterclockwise rotation 90 deg
(x,-y) [1 0]... [0 -1]
(-x,y) [-1 0]... [0 1]
(y,x) [0 1]... [1 0]
(-y,x) [0 -1]... [1 0]
Reflection over the x-axis
(x,-y) [1 0]... [0 -1]
Reflection over the y-axis
(-x,y) [-1 0]... [0 1]
Chapter 4 Matrices
Matrix
Matrix element
Matrix addition
To add matrices..
row x column
each number in the element
to add matrices A and B with the same dimensions, add corresp…
have to have the same dimensions
Matrix
row x column
Matrix element
each number in the element
15 terms
Chapter 4 Vocab: Matrices
augmented matrix
determinant(of a square matrix)
dilation
equal matrices
contains the coefficients and constants from a system of equa…
a real number that can be computed from its elements accordin…
a transformation that can change the size of a figure; when t…
matrices with the same dimensions and equals corresponding el…
augmented matrix
contains the coefficients and constants from a system of equa…
determinant(of a square matrix)
a real number that can be computed from its elements accordin…
15 terms
Matrices Chapter 4
Augmented Matrix
Determinant
Dilation
Equal Matrices
An argument matrix contains the coefficients and contents fro…
The determinant of a square matrix is a real number that can…
Is a transformation that can change the size of a figure. Whe…
Equal matrices are matrices with the same dimensions and equa…
Augmented Matrix
An argument matrix contains the coefficients and contents fro…
Determinant
The determinant of a square matrix is a real number that can…
15 terms
Chapter 4 Matrices
Augmented matrix
Determinant
Dilation
Equal matrices
Contains the coefficients and the constants from a system of…
Determinant of a 2x2 matrix (a/c b/d is ac - bd
Transformation that changes the size of a figure.
Matrices with the same dimensions and equal corresponding ele…
Augmented matrix
Contains the coefficients and the constants from a system of…
Determinant
Determinant of a 2x2 matrix (a/c b/d is ac - bd
15 terms
Chapter 4 Matrices
augmented matrix
determinant
dilation
equal matrices
contains the coefficients and constants from a system of equa…
a real number that can be computed from its elements accordin…
a transformation that can change the size of a figure
matrices with the same dimensions and equal corresponding ele…
augmented matrix
contains the coefficients and constants from a system of equa…
determinant
a real number that can be computed from its elements accordin…
17 terms
Chapter 4: Matrices
matrix
dimensions
entry
address
a rectanglular array of numbers enclosed in square brackets
number of rows x number of columns
each value in a matrix
an entry's location expressed using the lowercase matrix lett…
matrix
a rectanglular array of numbers enclosed in square brackets
dimensions
number of rows x number of columns
15 terms
Matrices Chapter 4
Augmented Matrix
Determinant
Dilation
Equal Matrices
Contains the coefficients and constants from a system of equa…
The determinant of a square matrix is a real number that can…
A transformation that can change the size of a figure..
They are matrices with the same dimensions and equal correspo…
Augmented Matrix
Contains the coefficients and constants from a system of equa…
Determinant
The determinant of a square matrix is a real number that can…
15 terms
Chapter 4 Matrices
augmented matrix
determinant
dilation
equal matrices
Contains the coefficients and constants from a system of equa…
is a real number that can be computed from its elements accor…
A transformation that can change the size of a figure.
Matrices with the same dimensions and equal corresponding and…
augmented matrix
Contains the coefficients and constants from a system of equa…
determinant
is a real number that can be computed from its elements accor…
24 terms
Chapter 4 Vocab- Matrices
Matrix
Matrix element
Matrix addition
Zero matrix
A rectangular array of numbers written within brackets. Repre…
Each number in a matrix.
You ass two matrices with the same dimensions by adding their…
A 0, or 0m X n, is the m X n matrix whose elements are all ze…
Matrix
A rectangular array of numbers written within brackets. Repre…
Matrix element
Each number in a matrix.
26 terms
Chapter 4- Matrices
element
equal matrices
matrix
Determinant
Each value in a matrix.
Matrices having the same dimensions and corresponding elements.
A rectangular array of variables or constants in horizontal r…
Every square matrix has one of these.
element
Each value in a matrix.
equal matrices
Matrices having the same dimensions and corresponding elements.
15 terms
Chapter 4-Matrices
augmented matrix
determinant
dilation
equal matrices
contains the coefficients and constants from a system of equa…
a real number that can be computed from its elements accordin…
a transformation that can change the size of a figure
matrices with the same dimensions and equal corresponding ele…
augmented matrix
contains the coefficients and constants from a system of equa…
determinant
a real number that can be computed from its elements accordin…
15 terms
Chapter 4 - Matrices
augmented matrix
determinant
dilation
equal matrices
contains coefficients and constants from a system of equations
the ________ of a square matrix is a real number that can be…
A transformation that can change the size of a figure. (When…
Matrices with the same dimensions and equal corresponding ele…
augmented matrix
contains coefficients and constants from a system of equations
determinant
the ________ of a square matrix is a real number that can be…
15 terms
Chapter 4-Matrices
Augmented Matrix
Determinant
Dilation
Equal Matrices
A matrix obtained by appending the columns of two given matri…
A quantity obtained by the addition of products of the elemen…
A transformation (notation ) that produces an image that is t…
Each matrix has the same number of rows. Each matrix has the…
Augmented Matrix
A matrix obtained by appending the columns of two given matri…
Determinant
A quantity obtained by the addition of products of the elemen…
15 terms
chapter 4 matrices
augmented matrix
determinant
dilation
equal matrices
contains the coefficients and the constants from a system of…
a 2 X 2 matrix is ad-bc
a transformation that changes the size of a figure.
matrices with the same dimensions and equal corresponding ele…
augmented matrix
contains the coefficients and the constants from a system of…
determinant
a 2 X 2 matrix is ad-bc
15 terms
Chapter 4 - Matrices
Augmented Matrix
Determinant
Dilation
Equal Matrices
An argumented matrix contains the coefficients and constants…
The determinant of a square matrix is a real number that can…
A dilation is a transformation that can change the size of a…
Equal matrices are matrices with the same dimensions and equa…
Augmented Matrix
An argumented matrix contains the coefficients and constants…
Determinant
The determinant of a square matrix is a real number that can…
72 terms
Alg. II: Chapter 4 (Matrices)
matrix
matrix notation
entries in a matrix include
there are no __________ in matrices
rectangular array of numbers arranged in rows and columns
[A]
whole #'s, fractions, decimals, square roots, pi, negative nu…
commas
matrix
rectangular array of numbers arranged in rows and columns
matrix notation
[A]
Algebra II Chapter 4 Test Matrice Rotations/Reflections
Rotate 90 degrees counter clockwise
Rotate 270 degrees counter clockwise
Rotate 180 degrees counter clockwise
x-axis reflection
0 -1... 1 0
0 1 ... -1 0
-1 0 ... 0 -1
1 0 ... 0 -1
Rotate 90 degrees counter clockwise
0 -1... 1 0
Rotate 270 degrees counter clockwise
0 1 ... -1 0
25 terms
Matrices (Chap. 4 Vocab.) Acc. Algebra 2
Matrix
Element
Row Matrix
Column Matrix
A rectangular array of variables and constants in horizontal…
Each value in the matrix
One row
One column
Matrix
A rectangular array of variables and constants in horizontal…
Element
Each value in the matrix
25 terms
Algebra 2 Chapter 4
axis of symmetry
completing the square
complex conjugates
complex number
a line about which a figure is symmetrical
a process used to make a quadratic expression into a perfect…
two complex numbers of the form a-bi and a+bi
any number that can be written in the form a+bi where a and b…
axis of symmetry
a line about which a figure is symmetrical
completing the square
a process used to make a quadratic expression into a perfect…
9 terms
Algebra Chapter 4 Vocabulary
Linear Function
Non-linear Function
Y-Intercept
X-Intercept
All points form a straight line
All points do not form a straight line
Where the line crosses the y-axis.... X=0 at this point
Where the line crosses the x-axis.... Y=0 at this point
Linear Function
All points form a straight line
Non-linear Function
All points do not form a straight line
20 terms
Algebra 1 - Chapter 4
arithmetic sequence
common difference
continuous graph
dependent variable
a sequence in which the difference between consecutive terms…
the difference between consecutive terms in an arithmetic seq…
a graph that is an unbroken line. [p. 255]
a value that can be changed or is affected by another value.…
arithmetic sequence
a sequence in which the difference between consecutive terms…
common difference
the difference between consecutive terms in an arithmetic seq…
15 terms
Algebra II Chapter 3: Linear Systems and Matrices
System of two linear equations
Solution of a system
Consistent
Independent
Two equations, with the variables x and y, that can be writte…
An ordered pair (x, y) that satisfies each equation.
A system that has at least one solution.
A consistent system that has exactly one solution.
System of two linear equations
Two equations, with the variables x and y, that can be writte…
Solution of a system
An ordered pair (x, y) that satisfies each equation.
10 terms
PPHS Algebra 2: Section 4-1 (Matrices and Data)
matrix
dimensions
entry
address
a rectangular array of numbers enclosed in brackets
written as m x n when there are "m" rows and "n" columns
each value in the matrix
the location of an entry in the matrix. It is expressed by us…
matrix
a rectangular array of numbers enclosed in brackets
dimensions
written as m x n when there are "m" rows and "n" columns
19 terms
Algebra chapter 4
slope intercept form
linear extrapolation
parallel lines
perpendicular lines
An equation of the form y=mx+b where m is the slope and b is…
The use of a linear equation to predict values that are outsi…
Lines in the same plane that do not intersect and either have…
Lines that intersect to form a right angle; the product of th…
slope intercept form
An equation of the form y=mx+b where m is the slope and b is…
linear extrapolation
The use of a linear equation to predict values that are outsi…
Chapter 4 - Algebra
Dependent Variable
Nonlinear Function
Relation
Independent Variable
a variable that provides the output value of a funtion
a function whose graph is not a line or part of a line
any set of ordered pairs
a variable that provides the input values of a function
Dependent Variable
a variable that provides the output value of a funtion
Nonlinear Function
a function whose graph is not a line or part of a line
17 terms
Algebra Chapter 4
Ordered Pair
Coordinate Grid
X Axis
Y Axis
Coordinate
Graph
Horizontal Axis
Vertical Axis
Ordered Pair
Coordinate
Coordinate Grid
Graph
16 terms
Algebra Chapter 4
Best-fit line
Bivariate data
Correlation coefficient
Inverse function
the line that most clearly approximates the data in a scatter…
data with two variables
a value that shows how close data points are to a line
a function that can generate ordered pairs of the inverse rel…
Best-fit line
the line that most clearly approximates the data in a scatter…
Bivariate data
data with two variables
36 terms
Algebra II Chapter 4
Quadratic Function
Axis of Symmetry
Vertex
Minimum Value (Min)
is a function that can be written in the form y=ax^2 + bx + c…
A vertical line that divides the parabola into two mirror ima…
The point on a parabola where the graph changes direction. Fo…
The y coordinate of the vertex if a>0.
Quadratic Function
is a function that can be written in the form y=ax^2 + bx + c…
Axis of Symmetry
A vertical line that divides the parabola into two mirror ima…
18 terms
Chapter 4 Algebra 2
SOLUTION
BOUNDRY CURVE
BOUNDRY LINE
BOUNDARY POINT
a number or expression that makes the equation or inequality…
The visual dividing marker of a non-linear graph representing…
The visual dividing symbol in a linear graph representing whe…
The endpoint of a ray or segment on a number line where an in…
SOLUTION
a number or expression that makes the equation or inequality…
BOUNDRY CURVE
The visual dividing marker of a non-linear graph representing…
20 terms
Algebra 2 Chapter 4
column matrix
vertex matrix
Cramer's Rule
identity matrix
a matrix that has only one column
a matrix used to represent the coordinates of the vertices of…
a method that uses determinants to solve a system of linear e…
a square matrix that, when multiplied by another matrix, equa…
column matrix
a matrix that has only one column
vertex matrix
a matrix used to represent the coordinates of the vertices of…
42 terms
Algebra 2 - Chapter 4
axis of symmetry
completing the square
complex conjugates
complex numbers
a line that divides a plane figure or a graph into two congru…
a process used to make a quadratic expression into a perfect…
two complex numbers of the form a+bi and a-bi.
adding real numbers to real multiples of the imaginary unit i.
axis of symmetry
a line that divides a plane figure or a graph into two congru…
completing the square
a process used to make a quadratic expression into a perfect…
9 terms
Algebra Chapter 4 Vocabulary
Linear Function
Non-linear Function
Y-Intercept
X-Intercept
A function whose graph forms a straight line
A function whose graph does not form a straight line
Where the line crosses the y-axis.... X=0 at this point
Where the line crosses the x-axis.... Y=0 at this point
Linear Function
A function whose graph forms a straight line
Non-linear Function
A function whose graph does not form a straight line
11 terms
Algebra Chapter 4 - Sequences
sequence
term of a sequence
infinite sequence
finite sequence
pattern involving an ordered arrangement of numbers, geometri…
individual number, figure, or letter in the sequence
continues on forever
terminates (stops)
sequence
pattern involving an ordered arrangement of numbers, geometri…
term of a sequence
individual number, figure, or letter in the sequence
15 terms
College Algebra Chapter 4
Correlation coefficient
Decreasing linear function
Extrapolation
Horizontal line
a value, r, between -1 and 1 that indicates the degree of lin…
a function with a negative slope: If f (x) = mx + b, then m <…
predicting a value outside the domain and range of the data
a line defined by f (x) = b, where b is a real number. The sl…
Correlation coefficient
a value, r, between -1 and 1 that indicates the degree of lin…
Decreasing linear function
a function with a negative slope: If f (x) = mx + b, then m <…
20 terms
Algebra 1 ~ Chapter 4
arithmetic sequence
common difference
continuous graph
dependent variable
a sequence in which the difference between consecutive terms…
the difference between consecutive terms in an arithmetic seq…
a graph that is an unbroken line. [p. 255]
a value that can be changed or is affected by another value.…
arithmetic sequence
a sequence in which the difference between consecutive terms…
common difference
the difference between consecutive terms in an arithmetic seq…
11 terms
Algebra 2 ~ Chapter 4
axis of symmetry
complex number
discriminant
greatest common factor
a line that divides a plane figure or a graph into two congru…
any numbers with "i" in them. (p. 249)
(p. 242)
(GCF) the largest factor that two or more numbers have in com…
axis of symmetry
a line that divides a plane figure or a graph into two congru…
complex number
any numbers with "i" in them. (p. 249)
10 terms
Algebra Chapter 4 Vocabulary
best-fit line
correlation coefficient
slope-intercept form
linear extrapolation
line that most closely fits data in a scatter plot
value that shows how close data points are to a line
equation in the form y=mx+b where m is slope and b is the y-i…
use of a linear equation to predict values that are outside t…
best-fit line
line that most closely fits data in a scatter plot
correlation coefficient
value that shows how close data points are to a line
21 terms
Algebra 2 - Chapter 4 Terms
quadratic equation
difference of squares
quadratic formula
axis of symmetry of a parabola
ax² + bx + c = 0 and a ≠ 0
a² - b² = (a + b)(a - b)
quadratic equation
ax² + bx + c = 0 and a ≠ 0
difference of squares
a² - b² = (a + b)(a - b)
21 terms
Financial Algebra - Chapter 4
credit
creditor
assets
earning power
when you purchase something and don't pay for it right away
organizations or individuals that extend credit to consumers
everything you own
your ability to earn money now and in the future
credit
when you purchase something and don't pay for it right away
creditor
organizations or individuals that extend credit to consumers
15 terms
Chapter 4 Advanced Algebra
coefficient matrix
Cramer's Rule
determinant
dilation
matrix used with the coefficients of a system
method of solving systems using determinants
a number associated with a square matrix
a transformation that enlarges or reduces a figure
coefficient matrix
matrix used with the coefficients of a system
Cramer's Rule
method of solving systems using determinants
11 terms
Algebra 2 ~ Chapter 4
axis of symmetry
complex number
discriminant
greatest common factor
a line that divides a plane figure or a graph into two congru…
any numbers with "i" in them. (p. 249)
(p. 242)
(GCF) the largest factor that two or more numbers have in com…
axis of symmetry
a line that divides a plane figure or a graph into two congru…
complex number
any numbers with "i" in them. (p. 249)
13 terms
Algebra Chapter 4
Best Fit Line
Constant Function
Constraint
Identity Function
what is the line through the data points on a scatter graph
a function of the form y = a where a is a real number
a limitation or restriction
f(x)=x
Best Fit Line
what is the line through the data points on a scatter graph
Constant Function
a function of the form y = a where a is a real number
14 terms
Algebra Chapter 4 Systems of Equations
system of linear inequalities
solution of a system of linear inequal…
system of equations
cost
two or more linear inequalities on a graph
any point that is true for BOTH inequalities
two or more linear equations on a graph
the amount of money you spend on something
system of linear inequalities
two or more linear inequalities on a graph
solution of a system of linear inequal…
any point that is true for BOTH inequalities
16 terms
Algebra Chapter 4 Review
perpendicular lines
slope-intercept form
correlation coefficient
scatterplot
two lines that have slopes that are negative reciprocals of e…
writing an equation in the form y = -3x + 5
the number that describes how closely a best-fit line models…
a graph of data points
perpendicular lines
two lines that have slopes that are negative reciprocals of e…
slope-intercept form
writing an equation in the form y = -3x + 5
15 terms
Chapter 4 Algebra
slope-intercept form
linear extrapolation
parallel lines
perpendicular lines
(pg. 216) an equation of the form y = mx + b, where m is the…
(pg. 228) using a linear equation to make predictions about v…
(pg. 239) lines in the same plane that do not intersect
(pg. 240) lines that intersect at right angles
slope-intercept form
(pg. 216) an equation of the form y = mx + b, where m is the…
linear extrapolation
(pg. 228) using a linear equation to make predictions about v…
16 terms
Algebra 1, Chapter 4
Quadrant
Transformation
Translation
4) Vertical stretch or shrink
4 regions of coordinate plane
produces an image by applying a rule to the coordinates of th…
moves every point vertically, horizontally, or both (slide)
moves every point away or toward the x-axis
Quadrant
4 regions of coordinate plane
Transformation
produces an image by applying a rule to the coordinates of th…
16 terms
Algebra 2 - Chapter 4
axis of symmetry
completing the square
complex conjugates
complex numbers
a line that divides a plane figure or a graph into two congru…
a process used to make a quadratic expression into a perfect…
two complex numbers of the form a+bi and a-bi.
adding real numbers to real multiples of the imaginary unit i.
axis of symmetry
a line that divides a plane figure or a graph into two congru…
completing the square
a process used to make a quadratic expression into a perfect…
21 terms
Algebra 2, Chapter 4
Quadratic functions
Standard form
Parabola
Vertex form
is a function where x2 is involved
y = ax2 + bx + c where a is not = 0
the graph of quadratic functions, U shaped graph
form of quadratic function where y = a(x - h)2 + k
Quadratic functions
is a function where x2 is involved
Standard form
y = ax2 + bx + c where a is not = 0
25 terms
Intermediate Algebra Chapter 4
complement of an event
cross products
dependent events
event
All possible outcomes that are not in the event
In a proportion, a/b = c/d, the products of ad and bc. These…
Two events in which the occurrence of one event affects the p…
Any group of outcomes in a situation involving probability
complement of an event
All possible outcomes that are not in the event
cross products
In a proportion, a/b = c/d, the products of ad and bc. These…
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