## anonymous one year ago I need help solving a matrix

1. anonymous

here it is

2. freckles

$4X+A=B \\ 4X=B-A \\ X=\frac{1}{4}[B-A]$ just find the difference of matrix B and A then multiply by the scalar 1/4

3. Empty

Lol great name by the way.

4. anonymous

$X=\frac{ 1 }{ 4 }\left( 8 -3\right)$

5. anonymous

And so on?

6. freckles

well that would be the first entry of X So you could say: $X_{11}=\frac{1}{4}(8-3)$

7. freckles

buy yeah in general you have $X_{ik}=\frac{1}{4}(B_{ik}-A_{ik})$

8. anonymous

so if i'm not mistaken, one solution for X is [5/4 3/4]?

9. freckles

how do you end up with a 1 by 2 matrix?

10. freckles

oh do you mean just row 1 for X? because X is gonna be a 3 by 2 matrix and there is only one solution for X.

11. anonymous

Yeah just one row. That's all I had completed at the time. I have the rest of the answer. Thank you very much, I really appreciate your help

12. freckles

np :)