Visualizations of left nullspace and rowspace | Linear Algebra | Khan Academy

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Relationship between left nullspace, rowspace, column space and nullspace.
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[@ceejay1684]

This is a nice summary of concepts

[@ashutoshpatidar3288]

Now this is some extraordinary stuff out there wrt la

[@industrialdonut7681]

That has got to be useful for something XD for so long I've always even wondered why we care about "row space" as a thing, at all, but this is interesting already as I seek the answer, that they exhibit such properties as this!

[@oneinabillion654]

I self studied this 2year ago. I havent found any applications in my Electronics engineering yet (sophomore now). But I'm starting to see some applications in optic lens combination problems. Also some in portfolio risk/profit optimization, which is cool and satisfying to be able to FINALLY use linear algebra

[@mathematalie]

Looks like there is a sign error for the vector spanning the rowspace of a in computation of the dot product of the rowspace and the null space

[@Judobrinez]

ok? i am a littl comfuse