4.2 - Null Spaces, Column Spaces, and Linear Transformations

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Paul Cartie

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Thank you for making these videos available... I'm in an asynchronous class where I more or less just have to read the textbook, and your videos are saving my tail right now :D

whatever

I get the feeling finding null space will be easier than finding the col space. I think this will be one of the more difficult things to remember and practice before the test. Thanks for the video.

KISPN

I appreciate the linear combination knowledge coming back for this type of thing. Why is there no obvious relation between Nul A and the entries in A?

alejandrochavarriagonzalez

I see no applications of Null spaces other than something in quantum property but they’re still super interesting!!! I don’t have any questions I can think of for this video.

sarahstets

Col A encapsulates the span of a matrix's columns, while Nul A reveals vectors that result in zero when multiplied by the matrix.

YasinFarid

What are the applications behind Null Spaces? they seem somewhat pointless to me.

nicholaspisano

I was worried calculus would show up again. Just making sure that the final example also applies to integrals, since those abide by the same rules for sums and scalers (and not much else).

Elijah_Hoenig

What are some examples of this that can be seen in the real world?

wizarddubstep

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