Solved How to Find inverse of a matrix using Cayley Hamilton theorem

Introduction : Here we shall explain the steps for finding the inverse of a matrix using Cayley Hamilton theorem through an example.Question : Find inverse of the following matrix using Cayley Hamilton theorem\[A=\left(\begin{matrix}1&-1&1\\2&-1&0\\1&0&0\\\end{matrix}\right)\] Solution :Given matrix \[A=\left(\begin{matrix}1&-1&1\\2&-1&0\\1&0&0\\\end{matrix}\right)\] Then Characterstics equation…

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