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**Determine whether the span of the column vectors of the given is in.....?**

## Homework Statement

determine whether the span of the column vectors of the given matrix is in euclidean space R=4

1 0 1 -1

0 -1 -3 4

1 0 -1 2

-3 0 0 -1

this question is under the inverse of square matrix section of my textbook. Unfortunately it dosent show any examples for this kind of question so Im really clueless.

whats the connection between span and inverse matrices? How can i prove if span of some vectors is in some euclidean space?