# Math Help - solving the matrix equation

1. ## solving the matrix equation

Let A =
1 1
0 1
and B =
0 -1
1 0

Solve the following matrix equation for X:
(BA)X^T =
1 0
-1 1

I'm sorry those are suposed to be matrixes. So I know that first I have to find BA which is
0 -1
1 1
Then I know that X^T times BA is
1 0
-1 1
And after that I'm stuck(

2. Originally Posted by anna123456
Let A =
1 1
0 1
$A= \begin{bmatrix}1 & 1 \\ 0 & 1\end{bmatrix}$

and B =
0 -1
1 0
$B= \begin{bmatrix}0 & -1 \\ 1 & 0\end{bmatrix}$

Click on those to see the code I used.

Solve the following matrix equation for X:
(BA)X^T =
1 0
-1 1
$(BA)X^T= \begin{bmatrix}1 & 0 \\ -1 & 1\end{bmatrix}$.

I'm sorry those are suposed to be matrixes. So I know that first I have to find BA which is
0 -1
1 1

Then I know that X^T times BA is
1 0
-1 1
And after that I'm stuck(
If Ax= C then $x= A^{-1}C$. Since you have already found BA, find its inverse and multiply by $\begin{bmatrix}1 & 0 \\ -1 & 1\end{bmatrix}$.

3. thank you!