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Matrices and Determinants question

2014 · Shift 0 · Q31
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Matrices and Determinants question

2014 · Shift 0 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If AAA is a 3×33 \times 33×3 non-singular matrix such that AA′=A′AAA'=A'AAA′=A′A and B=A−1A′,B = {A^{ - 1}}A',B=A−1A′, then BB′BB'BB′ equals:
  1. A
    B−1{B^{ - 1}}B−1
  2. B
    (B−1)′\left( {{B^{ - 1}}} \right)'(B−1)′
  3. C
    I+BI+BI+B
  4. D
    III
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