So the inverse of matrix a is equal to 1 over the determinant of a times the adjugate, or adjoint, of matrix a.

And so on this slide, you know this matrix is the matrix A, and this matrix is the matrix A inverse.

And if you think about it, if both of these things are true, then actually not only is A inverse the inverse of A, but

learned from Wikipedia, the correct term is the adjugate of matrix a.

Rows here.

Let me just quickly show you an example.

This just means my

In this situation, we do it in 15 seconds.

Archers, draw!

We are almost done.

But we're ready now to solve the inverse of a.

So now let's solve for the determinant.

She says property that for any matrix A, A times identity i times A

Let's get my scratch pad out.

Could I have multiplied the matrices the other way?

Here are details.

So that's the number of rows and size A two to give you back two, which is the number of columns in the matrix A.

So the matrix A is a m by n dimensional matrix, so m rows and n columns and we are going to multiply that by a n by 1 matrix, in other words an n dimensional vector.

Now, let's talk about more operations.

It's so taxing on me.

So another way of saying this, this could be 1 over the determinant.

Archers ready.

Ignite!

Archers!

The ith column of the matrix C is attained by taking the matrix A and multiplying the matrix A with the ith column of the matrix B for the values of I equals 1, 2 up through O. Okay ?

So let me draw that.

So, in the opposite direction example, they start like this.

Train B here.

The format string consists of format codes followed by an optional repeater argument.

So, this was the matrix A and so A 1 3 comma colon means get everything from the first row and from the second row and from the third row and the colon means, you know, one both of first and the second columns and so this gives me this 1 2 5 6.

So this is the adjoint of matrix a.

He won't tell.

Take my bow.

Matrix E is one by two, one row by two columns.

State 1 is our start state, and it's also our accepting state.

The repeater argument can be either an integer value or for repeating to the end of the input data.

Just as a warning if you do max A where A is a matrix.

Prepare to fire!

Aim. Arch your bows!

And you have my bow.

Prepare to fire!

Archers, draw!

Archers!

With a bow and arrow?

So, first of all, relative to this train right here, to train