Linear Algebra

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Moderate

Minimum Number of Free Variables

LINALG-G42GZR

Suppose that you are given a system $A \mathbf{x} = \mathbf{b}$ of 3 equations in 5 variables and told that it is consistent (i.e. has at least one solution).

What is the least number of free variables in the solution set?

A

0

B

1

C

2

D

3

E

5