If A = bmatrix 1 & -1 a & -1 bmatrix , B = bmatrix 1 & 1 b & -1 bmatrix and (A+B)^2 = A^2…
Mathematics · Class 12 · CBSE — Matrices
If \(A = \begin{bmatrix} 1 & -1 \\ a & -1 \end{bmatrix}\), \(B = \begin{bmatrix} 1 & 1 \\ b & -1 \end{bmatrix}\) and \((A+B)^2 = A^2 + B^2\), then find the relation between \(a\) and \(b\).
Answer
a - b + 2 = 0 (i.e., a = b - 2 ).
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