A First Course in Linear Algebra · Problem RQ-B-1

Vector Spaces — Robert Beezer

Mathematics — Linear Algebra · bases-nonsingular-matrices

Problem

The matrix below is nonsingular. What can you now say about its columns?

A = \begin{bmatrix}-3 & 0 & 1\\1 & 2 & 1\\5 & 1 & 6\end{bmatrix}