Matrices!

I was very proud of myself withthis lesson because I actually knew what I was doing! :)

*A^t(transpose)=switch rows and columns
*To add matrices they must be the same dimensions (rows and columns).
*To add matrices, you add cooresponding entries.
*To complete scalar multiplication, you multiply every entry by the number.

Example 1:
What are the dimensions of M?
M= [1 8 9
6 4 0]
2x3

Example 2:
What are the dimensions of M?
M=[ 8 9 6 5
0 8 4 7
2 9 4 6]
3x4

Example 3:
Find A + B
A= [-3 B=[1 A+B=[-2
0] 2] 2]

Example 4:
Subtract
[8 1 - [3 -2 = [5 3
-1 5] 4 -1] -5 6]

Example 5:
Add
[8 2 -2 + [12 3 10 = [20 5 8
-3 1 14] 0 0 -6] -3 1 8]

Example 6:
Multiply
8[5 -2 = [40 -16
4 0] 32 0]

Example 7:
Multiply then Add
2[3 0 + [-2 -2 = [6 0 + [-2 -2 = [4 -2
-4 1 3 0 -8 2 3 0 -5 2
0 -1] 6 11] 0 -2] 6 11] 6 9]

BTW, I am sorry for all of the messed up matrices, I can't figure out how to fix them.