The upper triangular everything below the diagonal.

So far we've been able to define the determinant for a 2 by 2 matrix.

Right by twos!

If you've got two of something, you add two more, you get four.

Rather than count people one at a time, we instead count them two at a time.

Let's define that as L2. L2 would be equal to the set of all of vectors where you start off at x2.

So we'll get a 0, we'll get a 1 minus 2, times 0, and we'll get a 2 minus 2, times 1. So that's a 0.

Two by two. Right and left.

He called to himself the twelve, and began to send them out two by two and he gave them authority over the unclean spirits.

And he called unto him the twelve, and began to send them forth by two and two and gave them power over unclean spirits

In the last video we defined the notion of a determinant of a 2 by 2 matrix.

But if you actually drew it on a number line, you'd say 2 2 4

So it's 1, 0, 2 0, 1, 2 2, 3, 0, just like that.

So we get two ATPs.

So I get two sources.

Get two doctors!

So on a net basis, it generated four, used two, it gave us two ATPs.

So I'll say, for the pyruvate oxidation times two means that we got two NADHs.

0 minus 2 is minus 2.

1, 2, minus 1, 0 times minus 2 minus, minus 2. And so what would this be equal to?

So the transformation of x2 is equal to our transformation matrix 1, 2, minus 1, 0 times 2, minus 2. And so this will be equal to 1 times 2 is 2. Plus minus 1 times minus 2.

That encodes that will now copy. From one comes two, and then from two comes three.

He completed a B.A., M.A.

He did an experiment on two dogs.

It gets those two hydrogens.

Divide it by two, well, that makes it, uh, uh....

Then upper triangular, everything below the diagonal is a 0, and everything above the diagonal probably isn't a 0, but you never know.

0 minus 2 is minus 2.

So this matrix right here.

I'm ignoring the zero because it's in the same column as the 1, 2, 0 0, 2, 3, and then 2, 0, 0.

1 minus 2 minus so it's 1 minus 2 plus minus 1 times minus 2. That's going to be plus 2.

Don't give them four, give them two plus two.

Minus 2 times minus 2 is 4.

Two!

Two.

Two.

Let's take our transformation of x2.

My whole life is relying on you two.

And we got a net payoff of two ATPs.

There were only two other Dannys on the Internet then.

It takes a day or two to collect.

So we can say plus 0 or minus 0 same thing.

Everybody knows that two and two make four.

This just comes from the definition of a 2 by 2 determinant.

2 minus 2 times 1 is 0.