#### Study sets matching "algebra chapter 4 matrices"

#### Study sets matching "algebra 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]

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…

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…

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…

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

matrix

dimensions

entry

address

a rectangular array of numbers enclosed in brackets

m x n m by n a matrix with m (rows) and n (columns)

each value in a matrix; also called an element

the location of an entry in a matrix, given by the row and co…

matrix

a rectangular array of numbers enclosed in brackets

dimensions

m x n m by n a matrix with m (rows) and n (columns)

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…

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…

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.

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…

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

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

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…

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…

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…

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.

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

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]

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

matrix product

You can only multiply two matrices if.…

The product of an m x n and an n x p m…

Square matrix

The answer you get when you multiply two or more matrices.

...the number of columns in A equals the number of rows in B

...an m x p matrix

Any matrix that has the same number of rows as columns. It is…

matrix product

The answer you get when you multiply two or more matrices.

You can only multiply two matrices if.…

...the number of columns in A equals the number of rows in B

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…

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

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…

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…

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.

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

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

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…

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…

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…

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…

System of Two Linear Equations

Solution

Consistent System

Inconsistent Solution

Consists of two equations that can be written as:... Ax + By = C…

An ordered pair (x,y) that satisfies each equation in the sys…

A system that has at least one solution.

A system that has no solutions.

System of Two Linear Equations

Consists of two equations that can be written as:... Ax + By = C…

Solution

An ordered pair (x,y) that satisfies each equation in the sys…

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…

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 <…

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

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)

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…

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…

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

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

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

dependent variable

discrete graph

domain

function

values are possible to change due to other variables

a graph composed of distinct, isolated points.

all possible input values of a function (x values)

a relation where each input has exactly one output

dependent variable

values are possible to change due to other variables

discrete graph

a graph composed of distinct, isolated points.

Coordinate plane

Solution of an equation

Linear equation

Standard form

Two number lines (axis') that form a right angle

An ordered pair that makes an equation true

An equation whose graph is a line

Ax+By=C where (A,B,C are real numbers)

Coordinate plane

Two number lines (axis') that form a right angle

Solution of an equation

An ordered pair that makes an equation true

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…

absolute value function

best-fit line

bivariate data

correlation coefficient

a function written as f(x) = ⌈ x ⌉, in which f(x) ≥ 0 for all…

the line that most closely approximates the data in a scatter…

data with two variables

a value that shows how close data points are to a line

absolute value function

a function written as f(x) = ⌈ x ⌉, in which f(x) ≥ 0 for all…

best-fit line

the line that most closely approximates the data in a scatter…

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

best-fit line

correlation coefficient

parallel lines

perpendicular lines

The line that most closely approximates the data in a scatter…

A value that shows how close data points are to a line.

Lines in the same plane that do not intersect and either have…

Lines that intersect to form a right angle.

best-fit line

The line that most closely approximates the data in a scatter…

correlation coefficient

A value that shows how close data points are to a line.