Chapter 4 - Matrices

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Scalar multiplication

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24 Terms

1

Scalar multiplication

________ can be used to perform dilations.

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2

Dilation

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

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3

different sets of data

Can be used to organize ________ in one representation.

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4

Rotation

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

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5

Translation

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

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6

𝐴−1

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

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7

Scalar Multiplication Scalar

________- the constant by which you multiply a matrix.

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8

diagonals

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

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9

Entire matrices

________ are usually named using an uppercase letter.

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10

Element

________- each value in a matrix.

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11

Second order determinant

________- the determinant of a 2x2 matrix.

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12

Transformations

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

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13

Matrix

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

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14

Element

each value in a matrix.

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15

Row matrix

a matrix that has only one row.

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16

Column matrix

a matrix that has only one column.

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17

Square matrix

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

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18

Zero matrix

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

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19

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).

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20

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.

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21

Determinant

a number associated with any square matrix.

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22

Cramer’s Rule

uses determinants to solve systems of equations.

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23

Identity matrix

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

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24

Matrix equation

an equation written in the form of a matrix

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