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Deduce from Theorem 3 in Section 4.3 that the rank of the matrix A is the largest integer r such that A has a nonsingular

Deduce from Theorem 3 in Section 4.3 that the rank of the matrix A is the largest integer r such that A has a nonsingular r x r submatrix.

THEOREM 3 Equality of Row Rank and Column Rank The row rank and column rank of any matrix are equal.

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