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## Homework Statement

Part b)

http://www.math.utah.edu/~zwick/Classes/Fall2012_2270/Lectures/Lecture19_with_Examples.pdf

For B

Left nullspace is solution to A ^ T times Y =0

So we have a free variable for the third row so don't we have infinitely many solutions as x3 could be anything?

In this problem's part b) I don't think that they took the transpose of the matrix A.

http://staff.imsa.edu/~fogel/LinAlg/PDF/29 Fundamental Subspaces.pdf

Go the bottom of page 1 under 4) and you'll see "

Perform Gaussian (or better, Gauss-Jordan) elimination on [A | I] to produce [U | B] (or

[R | C]). Claim: the last m – r rows of B (which equal those of C because once we get zeroes

there’s no more work to do in those rows) form ..."

So why isn't the last three rows of 0's in A just the left nullspace?

I am trying to figure out why