This document discusses matrices and their properties. It defines a matrix as an arrangement of numbers in rows and columns, with each number being an element. It notes that matrices have dimensions defined by the number of rows and columns. It explains how to add and subtract matrices by adding or subtracting corresponding elements, as long as the matrices have the same dimensions. It also discusses how to translate an image using a translation matrix added to a preimage matrix. Finally, it explains that matrices can only be multiplied if the number of columns in the first matrix equals the number of rows in the second matrix.

1. 9.2 Matrices January 24, 2013
BELLWORK
1. Translate A(­8,6) using (x,y) (x­7,y+10).
(­15,16)
2. Use the point M(8,­2). Find the component form of the
vector that describes the translation of M'(7,5). <­1,7>
CD, <4, 6>
Jan 26­12:56 PM
HW pg. 584 #8­24 evens, 28 1

2. 9.2 Matrices January 24, 2013
9.2 Matrices
Matrix: arrangement of #s in rows and columns
Element: each number in a matrix
Dimensions: number of rows by columns
Jan 26­1:09 PM
HW pg. 584 #8­24 evens, 28 2

3. 9.2 Matrices January 24, 2013
Jan 26­1:32 PM
HW pg. 584 #8­24 evens, 28 3

4. 9.2 Matrices January 24, 2013
Add or subtract corresponding elements.
*Must have same dimensions.
Jan 26­1:30 PM
HW pg. 584 #8­24 evens, 28 4

5. 9.2 Matrices January 24, 2013
Image Matrix: sum of translation matrix and preimage matrix
Jan 26­1:29 PM
HW pg. 584 #8­24 evens, 28 5

6. 9.2 Matrices January 24, 2013
Multiplying Matrices: can only find the product if
# of columns in 1st matrix = # of rows in 2nd matrix
1 2 3 1 2 1 2
2 2 3 X 2 2 4X2 2 2
3 2 3 3 2 3 2
4 2 3 4 2
Jan 26­1:38 PM
HW pg. 584 #8­24 evens, 28 6

7. 9.2 Matrices January 24, 2013
Jan 26­1:55 PM
HW pg. 584 #8­24 evens, 28 7

8. 9.2 Matrices January 24, 2013
HW pg. 584 #8­24 evens & 28
Jan 26­1:59 PM
HW pg. 584 #8­24 evens, 28 8