# Thread: [SOLVED] How do you find matrix this kind of matrix?

1. ## [SOLVED] How do you find matrix this kind of matrix?

21. Solve the following matrix equation for X.

Basically, the question gives us 3 matrices.

[A] [X] = [C]

matrix A and C are given, but I'm supposed to find matrix X somehow.

I'm a little lost, I think I can find C by finding the inverse of A while applying the operations to matrix C. This new matrix C should then be X but I'm not sure I'm going about this right.

In the example given I'm getting massive ratios and it's not like the book to throw such a tedious problem at the students which leads me to self-doubt.

2. If you need to find $\displaystyle X$ then...

$\displaystyle AX=C$

$\displaystyle A^{-1}AX=A^{-1}C$

$\displaystyle IX=A^{-1}C$

$\displaystyle X=A^{-1}C$

3. Okay so I basically find the inverse of A, then multiply it with C and the resulting matrix will be X?

4. Originally Posted by thekrown
Okay so I basically find the inverse of A, then multiply it with C and the resulting matrix will be X?
correct.

5. Cool man I can do this. Thanks for your help.