00:01
In this question, we are asked to solve the given matrix equation for x.
00:05
And we assume here that all the matrices are invertible.
00:10
The first step would be to multiply both sides of the equation, to multiply both sides by d plus cx from the right.
00:19
Recall that when multiply matrices, since matrix multiplication is not commutative, it's important to choose the side from which you are multiplying.
00:30
So here we are multiplying by d plus x from the right.
00:43
This equals to b multiplied by d plus cx.
00:50
On the left hand side, we have a product of an inverse matrix by the matrix itself, and it equals to i to the identity matrix.
01:04
And we are going to get a x times i on the left hand side.
01:09
And on the right hand side, we are going to distribute b over parentheses.
01:13
We are going to get bd plus b cx.
01:20
Now, recall that multiplying a, the identity matrix by any matrix gives the matrix itself.
01:30
So on the left -hand side, we are going to get a -x...