Thread: Linearly independent rows

Let A be an n x n matrix. How do you show that the rows of A are linearly independent if and only if the columns of A span ?

Originally Posted by antman

Let A be an n x n matrix. How do you show that the rows of A are linearly independent if and only if the columns of A span ?

the rows of are linearly independent iff the columns of are linearly independent iff is invertible iff is invertible iff the columns of are linearly independent iff the columns of span