Matrices!

This week we learned Matrices!
-A^t, the t meaning transposed with means to switch rows and columns.
-To add matrices they must be the smae dimensions (rows x columns)
-To add matrices you add coresponding entries
-To complete scalar multiplication you multiply every entry by the number.

Example 1:
3 8 1 =A 2 0 9 =B
4 0 -3 4 -6 -5
-2 1 5 0 7 2

a. What are the dimensions of A and B
A= 3x3
B= 3x3

b. Find A^t and B^t
A^t= 3 4 -2 B^t= 2 4 0
8 0 1 0 -6 7
1 -3 5 9 -5 2

c. Find A+B
3+2 8+0 1+9
4+4 0+(-6) +(-3)+(-5)
(-2)+0 +1+7 +5+2

= 5 8 10
8 -6 -8
-2 8 7

d. Find 4A-2B
Because im lazy I used my calculator, but first you multipy A by 4 and B by 2 then you subtract them.

= 8 32 -14
8 12 -2
-8 -10 16

Hope ya"ll had a good weekend :)
--Danielle