Suppose that A is a square matrix such that det A = 0. Explain why A cannot be invertible. Since the desired conclusion is that A is not invertible, it will be helpful to identify any conditions that are logically equivalent to the condition that A is not invertible. Which of the following conditions is logically equivalent to the condition that A is not invertible? O A. det A#0 O B. det A = 0 OC. det AB = (det A)(det B) O D. det A = det A

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