You see, a matrix is simply a linear map between two vector spaces.

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Anonymous Sun Feb 10 16:07:46 2019 No.10375597 [Reply] [Original]

You see, a matrix is simply a linear map between two vector spaces.

Anonymous Sun Feb 10 16:12:59 2019 No.10375610

The nxn matrix algebra over [math]\mathbb{F}[/math] under sum and matrix multiplication is isomorphic to the algebra of linear transformations from [math]\mathbb{F^n}[/math] to itself under pointwise sum and composition.
Furthermore, we can simplify this isomorphism by rewriting vectors as column vectors and multiplying them on the right.

>>	Anonymous Sun Feb 10 16:27:33 2019 No.10375647 >>10375597 A matrix is literally just a fucking table. You CAN use it as a linear map, but it is NOT what a matrix is. Fucking mathfags.

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