Examples of using Column vector 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
Or, in general, if you take a row vector times a column vector, it's essentially their dot product.
So we know that B can be written as a column vector b1, another column vector b2, and all the way it's going to have k of them because it has exactly k columns, so bk.
And so this term, it will be this row vector times this column vector-- let me do that in a different color-- will be 1 times 6 plus 2 times 8.
I have only defined column vectors dotted with other column vectors.
Its column vectors span all of Rm.
So if we write these vectors right there, these are the column vectors of A.
I wrote them as column vectors.
A as a set of column vectors.
So this is a linear combination of column vectors of A.
We're taking linear combinations of our column vectors.
The transpose of column vectors.
Or essentially the span of the column vectors.
We can write any matrix as just a series of column vectors.
So this guy could have n column vectors.
And I will just write A as its column vectors.
So let's say it's v1, v2, all the way to vn column vectors.
A matrix is just really just a way of writing a set of column vectors.
I just multiplied each of these terms times these respective column vectors.
The dot product of those column vectors, each of the corresponding column vectors, with your matrix X.
Linear combination of the column vectors of A, where the matrix X dictates what the weights on each of the columns are.