Chapter 4 - Matrices

Scalar multiplication

Scalar multiplication

________ can be used to perform dilations.

Dilation

________- occurs when a figure is enlarged or reduced; is performed relative to its center.

different sets of data

Can be used to organize ________ in one representation.

Rotation

________- occurs when a figure is moved around a center point (usually the origin)

Translation

________- a type of transformation that occurs when a figure is moved from one location to another without changing its size shape or orientation

𝐴−1

________ is the inverse of 𝐴. 𝐴* ________= 𝐼 Example 1- Verify Inverse Matrices 1.

Scalar Multiplication Scalar

________- the constant by which you multiply a matrix.

diagonals

Using ________- another method of evaluating a third- order determinant.

Entire matrices

________ are usually named using an uppercase letter.

Element

________- each value in a matrix.

Second order determinant

________- the determinant of a 2x2 matrix.

Transformations

________- functions that map points of a preimage onto its image.

Matrix

a rectangular array of variables or constants in horizontal rows and vertical columns,usually enclosed in brackets.

Element

each value in a matrix.

Row matrix

a matrix that has only one row.

Column matrix

a matrix that has only one column.

Square matrix

a matrix that has the same number of rows and columns.

Zero matrix

a matrix where every element is 0 (can have any dimension).

Equal matrices

matrices that have the same dimensions and each element of one matrix isequal to the corresponding element of the other matrix (they look identical).

Vertex matrix

Polygons can be represented into one matrix by combining the column matricesof the individual ordered pairs of their vertices; the name of this type of matrix.

Determinant

a number associated with any square matrix.

Cramer’s Rule

uses determinants to solve systems of equations.

Identity matrix

a square matrix that, when multiplied by another matrix, equals that samematrix.

Matrix equation

an equation written in the form of a matrix