Given A=( 3 2 5) ( 2 -1 8)

(4 7 -3 )and c=(5 0 3), find B if A+B=C

Sorry, I don't get it.

Is A a square matrix and B and C columns or what?
do you mean A * B or A + B ???

A+B

Are they matrices? is A square and C a column?

A and B

| 3 2 5 | |B11 B12 B13| |5|

| 2 -1 8|+|B21 B22 B23|=|0|
| 4 7 -3| |B31 B32 B33| |3|

Is that what you mean ??? or what ?

-1 -3 -3

1-7 6

-1 -3 3
1 -7 6

1 -3 3
-1 -7-6

-1-3 3
1 7 6

A B C or D?

I still do not have any idea what the question is.

To find matrix B, we need to subtract matrix A from matrix C.

Let's calculate the difference:

C - A = (5 0 3) - ( 3 2 5) ( 2 -1 8)
(4 7 -3 )

To subtract two matrices, we subtract corresponding elements in each matrix.

C - A = (5-3 0-2 3-5) (2-2 -1-(-1) 8-5)
(4-4 7-7 -3-(-3))

Simplifying further, we get:

C - A = (2 -2 -2) (0 0 3)

Therefore, B = C - A = (2 -2 -2) (0 0 3)