Vanillin

Petrol, oil and lubricants

You got plenty of gas?

(e) Petrol, oil and lubricants

Got any gas?

And the definition of our linear transformation, or the composition of our linear transformation.

Diesel fuel 9 118 540 197.40 1 800 000

Petrol tank plus metering equipment 112.9

Petrol tank plus metering equipment

Petrol tank plus metering equipment 0.0 0.0 0.0 0.0

You, today, buy gasoline miles.

Independence.

linear regression.

Fuel tank (petrol), 2,000 gallons 1 6 000 6 000

Fuel tank (petrol), 1,000 gallons 1 3 900 3 900

(e) Petrol tank plus metering equipment .

Remember in your car you have a gas tank.

Use linear mode

Linear middle of the distribution

It's a linear combination of the columns.

(f) Petrol tank plus metering equipment . 3 282 100

And now the chain is slipping. The time has come to hit the gas.

We can't be out of gas.

Product 15,000 tons of petrol

Petrol (30 days, 5,100 gallons) . 9 300

(f) Petrol tank plus metering equipment . 484 300

(f) Petrol tank and metering equipment . 112 900

So for 14.6 gallons of gas at 2.70 per gallon, it's going to cost 39.42.

All I'm asking is enough gas to get me to New York.

And all a linear combination of vectors are, they're just a

do the linear combinations of the columns fill three dimensional space?

I am not gas station. This is sophisticated laboratory.

learned linear algebra.

planes, because they're not parallel, they're not special.

So we would be having the linear combinations of nine vectors in

And then I have a final linear transformation f.

And I call it linear change. Unlike cyclical change, when linear change hits we're not going back.

I already hit every gas station between Newark and Asbury Park.

A linear transformation of x, of our vector x, is the same thing as taking the linear transformation of this whole thing let me do it in another color is equal to the linear transformation of actually, instead of using L,

MV is the linear middle of the distribution.

And that's what's neat about algebra.

There's a lot of names and labels in linear algebra.

Let me show you a concrete example of linear combinations.

linear algebra, and I'm Gilbert Strang.

Let's say I have the linear transformation g.