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## Main Question or Discussion Point

Q: If A is an m x n matrix and rank A = m, show that m <= n.

I know that by definition if A is m x n, then rank A <= m and rank A <= n. However, I do not know how I would do this if rank A = m.

Any help would be great thanks.

I know that by definition if A is m x n, then rank A <= m and rank A <= n. However, I do not know how I would do this if rank A = m.

Any help would be great thanks.