Kunze Linear Algebra · Problem 2.6.1

Vector Spaces

Mathematics — Methods · homogeneous-system-nontrivial-solution

Problem

Let

s < n

and

A

s \times n

matrix with entries in the field

F

. Use Theorem 4 (not its proof) to show that there is a non-zero

X

F^{n \times 1}

such that

AX = 0