My homework is too difficult for me!

[Judgment]

I'm confused about LU factorisation of a m x n matrix and how to visualise the 4 fundamental subspaces (null, left null, row, column).

:S *Head Explodes*

[Dkgamer]

Here ya go Fundamental subspaces of a matrix
Have a read of this and see if it helps.

[Mirinee]

*Casts Reverser*
Hahaha. So did mine. I'm trying to adapt so that it doesn't. *Eats more mind mats*

Edit: And thanks, Dkgamer. I don't have the TI-86. I need to understand how to do it manually.

[Dkgamer]

Oh ok, sorry about that. Il try and sort of translate it into simpler terms so you can see how it works. Just give me a while and il put up a link if i manage it lol

[Mirinee]

Wait, there's a bit at the end which tells how to do it manually, more or less.

I'm more stuck on how to apply the null-space once it is obtained, or how to work backwards to get a matrix when given the null-space and column-space bases.
I really need to understand the physical interpretation. It's going to be a challenge to explain to me in simple terms :'( .

Edit: What's a pivot column?

[Dkgamer]

Hmmm im not really sure how to find out the matrix from a NS and CS either. Ill do some research and let you know what i find out

[Kal]

sorry i can't help u, i'm only in basic algebra, and barley past my final in that, with a calculator. ( it probly dosen't help that i'm asleep half the time :$ )