A First Course in Linear Algebra · Problem LI.C30

Vectors — Robert Beezer

Mathematics — Linear Algebra · linear-independence-null-spaces

Problem

For the matrix

B

below, find a set

S

that is linearly independent and spans the null space of

B

, that is,

\mathcal{N}(B) = \langle S \rangle

B = \begin{bmatrix} -3 & 1 & -2 & 7 \\ -1 & 2 & 1 & 4 \\ 1 & 1 & 2 & -1 \end{bmatrix}