MHT CET202613 April 2026Evening ShiftMathematicsMatricesActual

If A = bmatrix & - - & bmatrix , (0, 2 ) such that A + adj ,A = 4I , then =

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Correct answer

C. 3

Step-by-step solution

Given A = bmatrix & - - & bmatrix The adjoint of a 2 2 matrix bmatrix a & b c & d bmatrix is bmatrix d & -b -c & a bmatrix . adj ,A = bmatrix & & bmatrix A + adj ,A = bmatrix & - - & bmatrix + bmatrix & & bmatrix = bmatrix 2 & 0 0 & 2 bmatrix Given A + adj ,A = 4I , we have: bmatrix 2 & 0 0 & 2 bmatrix = bmatrix 4 & 0 0 & 4 bmatrix 2 = 4 = 2 Since (0, 2 ) , = 3

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