1. ## Matrix Algebra

Question:
Find AB if A $\displaystyle = \begin{pmatrix}z & y\\ x & w\\ v & u \end{pmatrix}$ and B $\displaystyle = \begin{pmatrix} a & b & c\\ d & e & f \end{pmatrix}$

Solution:
A has a 3 X 2 matrix and B has a 2 X 3 matrix
thus AB has a 3 X 3 matrix

$\displaystyle \begin{pmatrix}(za+yd) &(zb+ye) &(zc+yf) \\ (xa+wd) &(xb+we) &(xc+wf) \\ (va+ud)&(vb+ue) & (vc+uf) \end{pmatrix}$

I would like to know if i am right

2. ## Re: Matrix Algebra

Yes, you are correct.

3. ## Re: Matrix Algebra

Originally Posted by Walagaster
Yes, you are correct.
thank you