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If A and B are square matrices of same o...

If A and B are square matrices of same order such that `AB=O` and `B ne O`, then prove that `|A|=0`.

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To prove that if \( AB = O \) (where \( O \) is the zero matrix) and \( B \neq O \), then \( |A| = 0 \), we can follow these steps: ### Step 1: Start with the given condition We know that \( AB = O \). ### Step 2: Use the property of determinants From the property of determinants, we have: \[ ...
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