Now, I can create a whole matrix of means.

The size command in Octave

Is C plus B defined?

Hour size

Okay, so hopefully you guess, correctly guess, that the answer is the second one, so namely that the number of

For example. Here's a matrix where the columns of this matrix are

You also have a rotation matrix that will rotate the model or anything else around the y axis.

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

Thank God for travel sizes, right?

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

It does exactly what I told you to do.

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

I think you see the pattern.

Here is my result.

This just means my

It's the determinant.

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.

So A is a three by two matrix and features

We go back to plus.

It's just a little tedious.

We are almost done.

In order to get, what

What's the line for?

A is a three by two matrix, the longer dimension is of size three, so this should print out three.

Just to say that again.

So for each predictor, we're gonna have one beta or one regression coefficient.

I got a 2 by 2 matrix.

Where does the recursion bottom out?

Let's calculate B inverse.

Matrix

Main Text Frameset

So B inverse is going to be equal to 1 over the determinant of B.

The inverse is shown like this a negative 1 in the superscript.

Now we're doing it in matrix form.

Modelling transforms.

First matrix

And if you do that, the result is pretty much what you'll expect.

You can also take a matrix and divide it by a number.

I am going to construct a matrix as follows.

You have plus, and then you go minus.

If you solve the problem, you have probably something like this.

And actually this step is fairly straightforward.

So it turns out that we can multiply two matrices.

And I want to emphasize these are still very small problem sizes.

Creates an A4 document with two columns per page.