###### Exercise 6

This exercise asks you to construct some matrices whose columns span a given set.

Construct a \(3\times3\) matrix whose columns span \(\real^3\text{.}\)

Construct a \(3\times3\) matrix whose columns span a plane in \(\real^3\text{.}\)

Construct a \(3\times3\) matrix whose columns span a line in \(\real^3\text{.}\)