How to proof: Matrix A have a size of m×n, and the rank is r. How...

How to proof:

Matrix A have a size of m×n, and the rank is r. How can we rigorous proof that the dimension of column space are always equal to the dimensional of row space?

(I can use many examples to show this work, but how to proof rigorously?)

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Expert Solution

Colby Messinger answered 1 year ago

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