# 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]

closure property of addition

commutative property of addition

associative property of addition

additive identity property

a+b is an mxn matrix

a+b=b+a

(a+b)+c=a+(b+c)

there is an unique mxn matrix 0 such that 0+a=a+0=a

closure property of addition

a+b is an mxn matrix

commutative property of addition

a+b=b+a

coefficient matrix

column matrix

constant matrix

cramer's rule

a metric that contains only the coefficients of the system

one column

a matrix that contains only the constants of a system of equat…

a method that uses determinants to solve a system of linear eq…

coefficient matrix

a metric that contains only the coefficients of the system

column matrix

one column

column matrix

Cramer's Rule

determinant

dilation

A matrix that has only one column.

A method that uses determinants to solve a system of linear eq…

A square array of numbers or variables enclosed between two pa…

A transformation in which a geometric figure is enlarged or re…

column matrix

A matrix that has only one column.

Cramer's Rule

A method that uses determinants to solve a system of linear eq…

matrix

element

dimension

row matrix

the set of conditions that provides a system in which somethin…

a small amount of an emotion or quality.

a measurement of something in a particular direction, especial…

A matrix comprising only a single row of elements.

matrix

the set of conditions that provides a system in which somethin…

element

a small amount of an emotion or quality.

column matrix

Cramer's Rule

determinant

dilation

a matrix that has only one column

a method that uses determinants to solve a system of linear eq…

a square array of numbers or variables enclosed between two pa…

a transformation in which a geometric figure is enlarged or re…

column matrix

a matrix that has only one column

Cramer's Rule

a method that uses determinants to solve a system of linear eq…

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…

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…

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…

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(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…

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

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

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]

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