Maybe a sobering thought and something you all know about.

Everything we've been doing in linear algebra so far, you might be thinking, it's kind of a more painful way of doing things that you already knew how to do.

We don't really know how to manipulate it, though, that well.

The imaginary unit. This special number i. Scaled up by b, in this case.

I knew I would want to do something a little different.

So we saw that the y coordinate of our focus was 1 4.

Now I want to move into some of the problems with this approach.

And that first of all looks about right.

After all, maybe they knew something he didn't.

I suggest we make use of the alien workers. They may know something about these systems.

Well, you're right to be a bit skeptical, because that's not the answer.

They're great kids out here!

And the other one, of course, is Donald Rumsfeld, who said,

There has, however, been no concomitant increase in the resources available to police forces.

Electrons.

So that might just be a fancy way let me just of saying something that you may or may not understand.

I guess some of you already know, but Kudo Jun transferred today.

It's the positive or minus square root.

So, for example, some students might benefit from a little bit of preparatory material that other students might already have.

So 35 goes into 280 exactly eight times.

It's old school al Qaeda.

And I already knew that animals like this earthworm, indeed most animals, don't support their tissues by draping them over bones.

And let's give a couple of examples of how to compute an average, and you might already know how to do this.

So bird counts are indicating that we might be seeing up to exponential growth in their numbers.

We have the variable on both sides.

You already know.

We just might be undergoing the biggest paradigm shift in knowledge that humanity has ever seen.

Why do they go to see the Mona Lisa?

Do we actually think beauty, or do we feel it?

Bakers smell good when they come home from work.

But just one year of earnings really don't capture what's happening at a company.

Let's figure out what eleven and twelve sixteenths minus five in eight sixteenths is.

Now, I know what you might be thinking.

With our first kids, we did not know the science about brain development.

I'm afraid I've contracted a venereal disease.

Difficulty going to the bathroom could reveal a problem in your intestine, prostate, or bladder.

It could be debt, it could be payables they have to pay some other vendors.

But again, I didn't know it was going to be a long goodbye.

But before doing that,

But I can give you a few examples.

I don't even know you.

And he has a blue forehead.

Again, you don't have to do this. We didn't teach it, but this is how I did it.

Qualified,knowledgeable,scientists...

How can you learn Kung Fu if already know so much?