5. Let A be an ($n \times n$)-matrix whose nullity is 0. Which of the following is NOT correct? (A) A is invertible. (B) The row vectors of A are linearly independent. (C) The reduced row echelon form of A is $I_n$. (D) rank(A) = n. (E) 0 is an eigenvalue of A.
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If the nullity is 0, it means that the only solution to Ax = 0 is the trivial solution x = 0. Show more…
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