Matrices and satisfy

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Matrices AA and BB satisfy AB=B−1AB = B^{-1} , where B=[2−2−10]B = \begin{bmatrix} 2 & -2 \\ -1 & 0 \end{bmatrix} , find the value of λ\lambda for which λA−2B−1+I=O\lambda A - 2B^{-1} + I = O , without finding B−1B^{-1} .

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