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Matrices and Determinants question

2018 · 15 Apr · Shift 2 · Q27
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Matrices and Determinants question

2018 · 15 Apr · Shift 2 · Q27

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Suppose A is any 3 ×\times× 3 non-singular matrix and ( A −-− 3I) (A −-− 5I) = O where I = I3 and O = O3. If α\alphaα A + β\betaβ A-1 = 4I, then α\alphaα+β\betaβ is equal to :
  1. A
    8
  2. B
    7
  3. C
    13
  4. D
    12
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