Study sets matching "algebra linear equations chapter 7"
Study sets
Diagrams
Classes
Users
Determine if given matrix is symetric
determine if is the matrix is orthogona…
Orthogonally diagonalize the matrix, gi…
Find the matrix of the quadratic form.…
transposed matrix is EXACTLY the same
test for orthogonal UtranspU=Identity matrix
A=PDPtrans if orth and symetric... 1. use eigenvalues to find ei…
rewrite into matrix directly... a. [12 29/2]... ......[29/2 15... b. […
Determine if given matrix is symetric
transposed matrix is EXACTLY the same
determine if is the matrix is orthogona…
test for orthogonal UtranspU=Identity matrix
slope
y-intercept
x-intercept
scatter plot
ration of the vertical change (rise) to the horizontal change…
where a point crosses the y axis
where point crosses the x-axis
graph that shows the general relationship between 2 sets of da…
slope
ration of the vertical change (rise) to the horizontal change…
y-intercept
where a point crosses the y axis
coordinate plane
origin
x-axis
y-axis
the grid created by the horizontal x-axis and the vertical y-a…
(0,0) in the coordinate plane; center of the grid
the horizontal number line in the coordinate plane (left to ri…
the vertical number line in the coordinate plane (up and down)
coordinate plane
the grid created by the horizontal x-axis and the vertical y-a…
origin
(0,0) in the coordinate plane; center of the grid
absolute-value equation
algebraic equation
closed sentence
open sentence
a number sentence that contains an equal sign and algebraic ex…
contains no variable and is either true or false
contains variables and an equal sign, and is neither true nor…
absolute-value equation
algebraic equation
a number sentence that contains an equal sign and algebraic ex…
Eigenspace of λ
Definition of a Diagonalizable Matrix
Condition for Diagonalization
Definition of Symmetric Matrix
If A is an nxn matrix with an eigenvalue λ, then the set of al…
An nxn matrix A is Diagonalizable when A is similar to a diago…
If an nxn matrix A has n linearly independent eigenvectors, th…
A square matrix A is symmetric when it is equal to its transpo…
Eigenspace of λ
If A is an nxn matrix with an eigenvalue λ, then the set of al…
Definition of a Diagonalizable Matrix
An nxn matrix A is Diagonalizable when A is similar to a diago…
Consecutive integers
Equivalent equations
Formula
Identity
Integers in counting order
Equations that have the same solution.
An equation that states a rule for the relationship between ce…
An equation that is true for every value of the variable.
Consecutive integers
Integers in counting order
Equivalent equations
Equations that have the same solution.
consistent
dependent
elimination
inconsistent
a system of linear equations that has at least one ordered pai…
a system of linear equations that has an infinite number of so…
the use of addition or subtraction to eliminate one variable a…
a system of equations with no ordered pair that satisfies both…
consistent
a system of linear equations that has at least one ordered pai…
dependent
a system of linear equations that has an infinite number of so…
An nxn matrix that is orthogonally diag…
If A^T = A and if vectors u and v satis…
An n x n symmetric matrix has n distinc…
For a nonzero v in R^n, the matrix vv^T…
True
True
False, there are n eigenvalues, but the eigenvalues do not hav…
False
An nxn matrix that is orthogonally diag…
True
If A^T = A and if vectors u and v satis…
True
absolute value equation
correlation coefficient
line of best fit
linear equation
Equation whose graph forms a V that opens up or down.
A number that tells how closely the equation of best fit model…
The most accurate trend line on a scatter plot showing the rel…
An equation whose graph forms a straight line.
absolute value equation
Equation whose graph forms a V that opens up or down.
correlation coefficient
A number that tells how closely the equation of best fit model…
a. The matrix of a quadratic form is a…
b. A quadratic form has no cross-produc…
c. The principal axes of a quadratic fo…
d. A positive definite quadratic form Q…
True
True
True
False, Q(x) = 0 when x = 0
a. The matrix of a quadratic form is a…
True
b. A quadratic form has no cross-produc…
True
Formula
Solve an Equation
Equivalent Equations
Multi-Step Equations
A mathematical relationship or rule expressed in symbols.
The process of finding all values of the variable that make th…
equations that have the same solution
Equations with more than one operation.
Formula
A mathematical relationship or rule expressed in symbols.
Solve an Equation
The process of finding all values of the variable that make th…
Scatterplot
Line of Best Fit
Positive Association
Negative Association
A graph in which the values of two variables are plotted along…
A straight line drawn through the center of a group of data po…
One variable increases as the other variable increases
One variable increases as the other variable decreases
Scatterplot
A graph in which the values of two variables are plotted along…
Line of Best Fit
A straight line drawn through the center of a group of data po…
slope-intercept form
slope-point form
general form
standard form
y=mx+b, where m is the slope and b is the y-intercept of the l…
The equation of a line in the form y - y1 = m (x - x1).... m is t…
Ax+By+C=0; A is a whole number.
Ax+By=C; A is a whole number.
slope-intercept form
y=mx+b, where m is the slope and b is the y-intercept of the l…
slope-point form
The equation of a line in the form y - y1 = m (x - x1).... m is t…
Algebraic expression
Coefficient
Common denominator
Constant
an expression that contains at least one variable
the number that is multiplied by the variable in an algebraic…
a denominator that is the same in two or more fractions
a value that does not change
Algebraic expression
an expression that contains at least one variable
Coefficient
the number that is multiplied by the variable in an algebraic…
unitarily similar matrices A and B (wit…
Schur form
unitary matrix
normal matrix
A=UBU*
upper triangular matrix T=U*AU;... square matrix A is unitarily s…
1) orthonormal columns... 2) orthonormal rows... 3) U*=U^-1 (conjuga…
AA=AA
unitarily similar matrices A and B (wit…
A=UBU*
Schur form
upper triangular matrix T=U*AU;... square matrix A is unitarily s…
(-3, 7)
(1, -6)
8√2
√173
Find the midpoint of the segment with endpoints (-8, 3) and (2…
Find the midpoint of the segment with endpoints (-3, -3) and (…
Determine the distance between (5, 6) and (-3, -2)
Determine the distance between (4, 6) and (2, -7)
(-3, 7)
Find the midpoint of the segment with endpoints (-8, 3) and (2…
(1, -6)
Find the midpoint of the segment with endpoints (-3, -3) and (…
Constant Term
Coefficient
Variable
Slope-intercept form
In Algebra, a constant is a number on its own, or sometimes a…
A number used to multiply a variable.
A symbol for a number we don't know yet. It is usually a lette…
A way to express the equation of a line. In general, the formu…
Constant Term
In Algebra, a constant is a number on its own, or sometimes a…
Coefficient
A number used to multiply a variable.