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AP EAMCET202125 Aug 2021Morning ShiftMathematicsDeterminantsActual

If A and B are two square matrices with det A=5 and det (B^T A^T )=-15 , then det B is equal to

Options

  1. A3
  2. B-3
  3. C0
  4. D1

Correct answer

B. -3

Step-by-step solution

Given, |A|=5 ; |B^T A^T |=-15 We know |A|= |A^T | aligned |B^T | |A^T | & =|B||A|=-15 |B| & = -15 |A| = -15 5 =-3 aligned

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