Linear Algebra and Its Applications · Problem 2.4.30

Vector Spaces — Gilbert Strang

Mathematics · four-fundamental-subspaces

Problem

If you exchange the first two rows of a matrix

A

, which of the four subspaces stay the same? If

y = (1,2,3,4)

is in the left nullspace of

A

, write down a vector in the left nullspace of the new matrix.