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

• Feb 3rd 2010, 12:15 PM
thekrown
[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.

• Feb 3rd 2010, 12:22 PM
pickslides
If you need to find $X$ then...

$AX=C$

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

$IX=A^{-1}C$

$
X=A^{-1}C
$
• Feb 3rd 2010, 12:39 PM
thekrown
Okay so I basically find the inverse of A, then multiply it with C and the resulting matrix will be X?
• Feb 3rd 2010, 12:56 PM
pickslides
Quote:

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.(Rock)
• Feb 4th 2010, 04:22 AM
thekrown
Cool man I can do this. Thanks for your help.