Question: . Determine whether each statement is true or false [.2513], and justify your answer [.25p]. (i) T F [.5p] A matrix A is invertible if

. Determine whether each statement is true or false [.2513], and justify your answer [.25p]. (i) T F [.5p] A matrix A is invertible if and only if its row reduced echelon form is also invertible. (ii) T F [.5p] S is a diagonalizing matrix for A if and only if (S-1) is a diagonalizing matrix for AT. (iii) T F [.5p] If A is m x n matrix, then ker(A) = ker(AT A)

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