If A = bmatrix 1 & 0 & -2 -2 & -1 & 2 3 & 4 & 1 bmatrix , find A^ -1 . Using A^ -1 …
Mathematics · Class 12 · CBSE — Determinants
If \(A = \begin{bmatrix} 1 & 0 & -2 \\ -2 & -1 & 2 \\ 3 & 4 & 1 \end{bmatrix}\), find \(A^{-1}\). Using \(A^{-1}\), solve the system of linear equations: \(x - 2y + 3z = 6\); \(-y + 4z = 10\); \(-2x + 2y + z = 5\).
Answer
A^ -1 = bmatrix -9 & -8 & -2 8 & 7 & 2 -5 & -4 & -1 bmatrix ; x = 1, y = 2, z = 3 .
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