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## Homework Statement

A linear map T: ℝ[itex]^{m}[/itex]-> R[itex]^{n}[/itex] has rank k. State the value of the nullity of T.

## The Attempt at a Solution

I know that rank would be the number of leading columns in a reduced form and the nullity would simply be the number of non-leading columns, or total columns - rank.

As we are not given how many different vectors are in the matrix, I'm not too sure how to give a value.