Linear Algebra and Its Applications · Problem 3.1.26

Orthogonality — Gilbert Strang

Mathematics · orthogonal-vectors-subspaces

Problem

AB = 0

then the columns of

B

are in the \_\_\_\_ of

A

. The rows of

A

are in the \_\_\_\_ of

B

. Why can't

A

and

B

be 3 by 3 matrices of rank 2?