A First Course in Linear Algebra · Problem SS.RQ.3

Vectors — Robert Beezer

Mathematics — Linear Algebra · spanning-sets-null-spaces

Problem

For the matrix

A

below, find a set

S

so that

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

, where

\mathcal{N}(A)

is the null space of

A

. (See Theorem SSNS.)

A = \begin{bmatrix} 1 & 3 & 1 & 9 \\ 2 & 1 & -3 & 8 \\ 1 & 1 & -1 & 5 \end{bmatrix}