A First Course in Linear Algebra · Problem CRS.C33

Matrices — Robert Beezer

Mathematics — Linear Algebra · row-space-basis

Problem

Find a linearly independent set

S

so that the span of

S

\langle S \rangle

, is row space of the matrix

B

, and

S

is linearly independent.

B = \begin{bmatrix} 2 & 3 & 1 & 1 \\ 1 & 1 & 0 & 1 \\ -1 & 2 & 3 & -4 \end{bmatrix}