- #1

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## Homework Statement

Let A be a matrix

Then the following is true or false. (No need to explain why)

a) rank(A) = rank(A

^{t})

b) dim(Nul(A)) = dim(Nul(A

^{t})

## The Attempt at a Solution

They are both true false right? The transpose swaps their row and columns which makes them interchanged

rank(A) = dim(Nul(A

^{t})

rank(A

^{t}) = dim(Nul(A))