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

If `A` and `B` are matrices of the same order, then `A B^T-B^T A` is a (a) skew-symmetric matrix (b) null matrix (c) unit matrix (d) symmetric matrix

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To solve the problem, we need to determine the nature of the matrix \( AB^T - B^T A \) given that \( A \) and \( B \) are matrices of the same order. ### Step-by-Step Solution: 1. **Understanding the Expression**: We start with the expression \( AB^T - B^T A \). We need to analyze this expression to see if it is symmetric, skew-symmetric, or something else. 2. **Taking the Transpose**: We will take the transpose of the entire expression: \[ ...
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