Attempt any one of the following: a

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Attempt any one of the following: a. Obtain the inverse of the following matrix using elementary operations.A=(012123311)A = \begin{pmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{pmatrix} b. If A=(2−3532−411−2)A = \begin{pmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end{pmatrix}, find A−1A^{-1}. Using A−1A^{-1}, solve the system of equations: 2x−3y+5z=112x - 3y + 5z = 11 3x+2y−4z=−53x + 2y - 4z = -5 x+y−2z=−3x + y - 2z = -3

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