# Study sets matching "algebra chapter 4 matrices"

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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 equat…

a real number that can be computed from its elements according…

a transformation that can change the size of a figure; when th…

matrices with the same dimensions and equals corresponding ele…

augmented matrix

contains the coefficients and constants from a system of equat…

determinant(of a square matrix)

a real number that can be computed from its elements according…

Augmented Matrix

Determinant

Dilation

Equal Matrices

An argument matrix contains the coefficients and contents from…

The determinant of a square matrix is a real number that can b…

Is a transformation that can change the size of a figure. When…

Equal matrices are matrices with the same dimensions and equal…

Augmented Matrix

An argument matrix contains the coefficients and contents from…

Determinant

The determinant of a square matrix is a real number that can b…

augmented matrix

determinant

dilation

equal matrices

contains the coefficients and the constants from a system of e…

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 elem…

augmented matrix

contains the coefficients and the constants from a system of e…

determinant

a 2 X 2 matrix is ad-bc

Augmented Matrix

Determinant

Dilation

Equal Matrices

An argumented matrix contains the coefficients and constants f…

The determinant of a square matrix is a real number that can b…

A dilation is a transformation that can change the size of a f…

Equal matrices are matrices with the same dimensions and equal…

Augmented Matrix

An argumented matrix contains the coefficients and constants f…

Determinant

The determinant of a square matrix is a real number that can b…

augmented matrix

determinant

dilation

equal matrices

contains the coefficients and constants from a system of equat…

a real number that can be computed from its elements according…

a transformation that can change the size of a figure

matrices with the same dimensions and equal corresponding elem…

augmented matrix

contains the coefficients and constants from a system of equat…

determinant

a real number that can be computed from its elements according…

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 lette…

matrix

a rectanglular array of numbers enclosed in square brackets

dimensions

number of rows x number of columns

augmented matrix

determinant

dilation

equal matrices

Contains the coefficients and constants from a system of equat…

is a real number that can be computed from its elements accord…

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 equat…

determinant

is a real number that can be computed from its elements accord…

Augmented Matrix

Determinant

Dilation

Equal Matrices

Contains the coefficients and constants from a system of equat…

The determinant of a square matrix is a real number that can b…

A transformation that can change the size of a figure..

They are matrices with the same dimensions and equal correspon…

Augmented Matrix

Contains the coefficients and constants from a system of equat…

Determinant

The determinant of a square matrix is a real number that can b…

Matrix

Matrix element

Matrix addition

Zero matrix

A rectangular array of numbers written within brackets. Repres…

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 zer…

Matrix

A rectangular array of numbers written within brackets. Repres…

Matrix element

Each number in a matrix.

Augmented matrix

Determinant

Dilation

Equal matrices

Contains the coefficients and the constants from a system of e…

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 elem…

Augmented matrix

Contains the coefficients and the constants from a system of e…

Determinant

Determinant of a 2x2 matrix (a/c b/d is ac - bd

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 col…

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 equat…

a real number that can be computed from its elements according…

a transformation that can change the size of a figure

matrices with the same dimensions and equal corresponding elem…

augmented matrix

contains the coefficients and constants from a system of equat…

determinant

a real number that can be computed from its elements according…

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 c…

A transformation that can change the size of a figure. (When t…

Matrices with the same dimensions and equal corresponding elem…

augmented matrix

contains coefficients and constants from a system of equations

determinant

the ________ of a square matrix is a real number that can be c…

Augmented Matrix

Determinant

Dilation

Equal Matrices

A matrix obtained by appending the columns of two given matric…

A quantity obtained by the addition of products of the element…

A transformation (notation ) that produces an image that is th…

Each matrix has the same number of rows. Each matrix has the s…

Augmented Matrix

A matrix obtained by appending the columns of two given matric…

Determinant

A quantity obtained by the addition of products of the element…

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 num…

commas

matrix

rectangular array of numbers arranged in rows and columns

matrix notation

[A]

equivalent

strict triangular form

Elementary Row Operations

row echelon form

Two systems of equations involving the same variables are said…

A system is said to be in strict triangular form if, in the kt…

I. Interchange two row.... II. Multiply a row by a nonzero real n…

A matrix is said to be in row echelon form if... (i) The first no…

equivalent

Two systems of equations involving the same variables are said…

strict triangular form

A system is said to be in strict triangular form if, in the kt…

System of two linear equations

Solution of a system

Consistent

Independent

Two equations, with the variables x and y, that can be written…

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 written…

Solution of a system

An ordered pair (x, y) that satisfies each equation.

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 usi…

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 ma…

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

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

SOLUTION

BOUNDRY CURVE

BOUNDRY LINE

BOUNDARY POINT

a number or expression that makes the equation or inequality t…

The visual dividing marker of a non-linear graph representing…

The visual dividing symbol in a linear graph representing wher…

The endpoint of a ray or segment on a number line where an ine…

SOLUTION

a number or expression that makes the equation or inequality t…

BOUNDRY CURVE

The visual dividing marker of a non-linear graph representing…