Here's the two by two identity matrix, here's the three by three identity matrix, here's the four by four identity matrix.

That gives me a 6 by 6 identity matrix, i3 is the 3 by 3 identity matrix.

I think you see the pattern.

And everything else is a 0.

I have a measurement uncertainty. It happens to be 1 in this example.

The inverse of a matrix essentially undoes the work of that matrix.

Can also verify the inverse of

So, you know, it's sort of a complicated thing.

But when B is the identity matrix, this does hold true.

It's actually pretty simple.

And if A is m by n then this identity matrix, right, for matrix multiplication make sense that has a m by n matrix because this m has a match up that m And in either case the outcome of this process is you get back to Matrix A, which is m by n.

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

It can set them down to 0.

It's server set eye 4.

What this does is this takes the column wise maximum.

What's going on here?

A. This is indeed the identity matrix with essentially ones on the diagonals and zeros on the off diagonals, up to a numerical round off.

Calendars Side by Side

Please line up in a row.

Cushions arranged,

And arranged carpets.

and cushions arrayed

And cushions ranged!

And cushions set in rows,

And cushions set in rows.

and cushions arrayed in rows,

And cushions ranged

and cushions laid out in an array,

and arranged cushions

And cushions lined up

well placed cushions,

And cushions set in a row,

cushions ranged,

Now that it's square and symmetric, it has an inverse.

So before we introduce that, I'm going to introduce you to the concept of an identity matrix.

Here, let me show you, whereas i9 is this matrix, flip up down of i9, you know, takes the identity matrix and flips it vertically so you end up with, excuse me, flip UD, end up with ones on this opposite diagonal as well.

That for most matrices A and B, this is not true.

Whole words

I want you to define the measurement uncertainty matrix, which now is a 2 x 2 that has 0.1 as the main diagonal as measurement noise.

Put the tables end to end.

COO ANWOAO'C RROO (RROO, RROO, RROO AOOO AOACWO SCOOHOAHWOC)

She says, I went the next day,

Except that light doesn't work this way in the real world.

Get to the back of the line.

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