6. use matrices to represent and manipulate data, e.g., to represent payoffs or incidence...
TRANSCRIPT
Addition
Augmented Matrix
Element
Equation
Matrix Multiplication
Scalar Multiplication
Variable Matrix
Zero Matrix
A matrix of m rows and n columns is called a matrix with dimensions m x n.
2 3 41.) 1
12
3 8 9
2.) 2 5
6 7 8
103.)
7
4.) 3 4
2 X 33 X 3
2 X 11 X 2
To add matrices, we add the corresponding elements. They must have the same dimensions.
5 0 6 3
4 1 2 3A B
A + B5 6 0 3
4 2 1 3
1 3
6 4
2 1 3 0 0 02.)
1 0 1 0 0 0
2 1 3
1 0 1
When a zero matrix is added to another matrix of the same
dimension, that same matrix is obtained.
To subtract matrices, we subtract the corresponding elements. The matrices must have the same dimensions.1 2 1 1
3.) 2 0 1 3
3 1 2 3
1 1 2 ( 1)
2 1 0 3
3 2 1 3
0 3
3 3
5 4
4 1 6 51.)
6 3 7 3
1 3 2 2 1 52.)
4 0 5 6 4 3
2 6
13 0
1 4 7
2 4 8
ADDITIVE INVERSE OF A MATRIX:1 0 2
3 1 5A
1 0 2
3 1 5A
Find the additive inverse:
2 1 5
6 4 3
2 1 5
6 4 3
Lab,in class, with a partner (one), finish in class- do at end. Do as much as you can.
You and your partner many turn in one paper, both names. Textbook p. 181 #1-6; need to learn how to use calculator with
matrices.
At home: textbook page: 172 #27 all parts, due next class