SFU MATH 232 3.4 Special Subspaces

SFU Math 232 Section 3.4. This is the main lecture for section 3.4. This lecture details the four fundamental subspaces of a matrix - the columnspace, the rowspace, the null space and the null space of the transpose. The Rank-Nullity theorem is presented.

[brendadavison]

There is an error (really a bit of a blunder) in this video. It is at minute 47:45. The row reduced matrix of A^{T}\vec{x}=0 is correct. But after that the interpretation of that should have been x_1 = 0 and x_2 = 0 (there is NO x_3) and so the nullspace consists solely of the zero vector. Sorry about that!

[markiplioiiahsbd]

STOP THE POLITICAL CENSORSHIP! GET RANDALL HIS MEDS!