Prove that if A has rank r > 0, then A has an r x r invertible matrix.
I have tried looking at the properties of invertible matrices, but I can't prove those qualities using just the rank of matrix A.
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Your question does not make sense as stated. Do you mean to show that $A$ has an $r \times r$ invertible submatrix? – Ben Grossmann Sep 12 '20 at 17:28
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Ben Grossmann, yes. I need to show that A has an r x r invertibe submatrix – Ritik Kumar Sep 12 '20 at 17:31
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Does this post answer you question to your satisfaction? – Ben Grossmann Sep 12 '20 at 17:31
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It does. Thankyou! – Ritik Kumar Sep 12 '20 at 17:36