If B = [b_ ij ]_ 2 2 where b_ ij = cases i + j & if i j i^2 - 2j & if i = j cases , then…
Mathematics · Class 12 · CBSE — Determinants
If \(B = [b_{ij}]_{2 \times 2}\) where \(b_{ij} = \begin{cases} i + j & \text{if } i \neq j \\ i^2 - 2j & \text{if } i = j \end{cases}\), then find \(B^{-1}\).
Answer
B^ -1 = bmatrix 0 & 1/3 1/3 & 1/9 bmatrix
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