Examples of using Matrix multiplication in English and their translations into Thai
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
So let's see, matrix multiplication.
And keep in mind, these are human-created definitions for matrix multiplication.
Learned matrix multiplication, why that happens.
That's how we learned matrix multiplication.
And then matrix multiplication here, minus 6 times x plus 6 times y is equal to 6.
This is one way to perceive matrix multiplication.
So how can the matrix multiplication be interpreted in this context?
So the big takeaway right here is matrix multiplication.
So let's see if matrix multiplication applies there.
We once again reduced everything to just a matrix multiplication.
That's just traditional matrix multiplication that we learned several videos ago.
We have learned about matrix addition, matrix subtraction, matrix multiplication.
Well think about how matrix multiplication works out.
Does the order of the matrix multiplication matter?
And we will see later that there's actually a lot of applications that come out of this type of matrix multiplication.
I'm sure you have been exposed to matrix multiplication in the past.
But any of these row operations that we have been doing, you can always represent them by a matrix multiplication.
If we were to actually perform the matrix multiplication, we get 1 times x1.
Now, I took the time to say that each of these linear transformations I can represent as matrix multiplications.
The way we learned matrix multiplication, we said, 3 times x, plus 2 times y is equal to 7.
I didn't divide everything by 30, just so the matrix multiplication's a little easier.
Let's do some more matrix multiplication examples, because I think it is all about seeing as many examples as possible.
And it's important to realize when we're doing matrix multiplication, that direction matters.
So all of these things that you're doing in your fancy 3D games on your Xbox or your Playstation, they're all just matrix multiplications.
My brain is starting to slow down, having to do matrix multiplications with fractions with negative numbers.
But, in the next video we're going to take this and generalize this to the case of matrix matrix multiplication.
So hopefully you're satisfied that a matrix multiplication, it isn't some new, exotic form of transformation.
The vector 1, 3, minus 1, 5, 4, 1 times our input vector, x1, x2,which is super cool because now we just have to do a matrix multiplication.
It's important when we're doing matrix multiplication, to confirm that it matters what direction you do the multiplication in.