If A=⎡⎢⎣10−121−1232⎤⎥⎦, then find A−1 by using eleme – InterviewSolution

1.	If A=⎡⎢⎣10−121−1232⎤⎥⎦, then find A−1 by using elementery row transformations and hence find matrix B such that A2+A+I=BA.
Answer» If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & - 1 2 & 1 & - 1 2 & 3 & 2 \end{matrix} ⎤ ⎥ ⎦$ , then find $A^{- 1}$ by using elementery row transformations and hence find matrix $B$ such that $A^{2} + A + I = B A$ .

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