6. use matrices to represent and manipulate data, e.g., to represent payoffs or incidence...
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Addition
Augmented Matrix
Element
Equation
Matrix Multiplication
Scalar Multiplication
Variable Matrix
Zero Matrix
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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
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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
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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.
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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
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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
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ADDITIVE INVERSE OF A MATRIX:1 0 2
3 1 5A
1 0 2
3 1 5A
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Find the additive inverse:
2 1 5
6 4 3
2 1 5
6 4 3
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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