# Matrix algebra

• August 15th 2012, 11:14 PM
Redeemer_Pie
Matrix algebra
Hi everyone can some help me with this? I have been working on this problem for three days straight but to no avail.

Assume there two N x M matrices- A and B:

such that their inverses of A'B, B'A and B'B can be found.

Where the mark: ' represents a transpose function.

Given that show that: (VA)^-1(V'y) yeilds:

(B'A)^-1(B'y)

where V= B(B'B)^-1B'A

the "^-1" represents an inverse matrix.

Hope you can can assist.

thanks!
• August 16th 2012, 05:49 PM
ojones
Re: Matrix algebra
Something's wrong with your statement. The matrix $V$ has size $n\times m$ and so $VA$ is not defined.