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Asked Dec 6, 2019
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Find the inverse of the matrix if it exists.
2 10
1 2 2
1 4 4
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Find the inverse of the matrix if it exists. 2 10 1 2 2 1 4 4

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Step 1
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2 10 The given matrix is, 1 2 2 1 4 4 2 1 01 Name the matrix as, A =|1 2 2 1 4 4 %3D The inverse ofa matrix A is given by, 4: A dj (4). det(4) The inverse of a matrix exists when det (4) =0.

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So, find the value of det (4). 1 2 2-2(8-8)-1(4-2)+0(4-2) = 2(0)-1(2)+0 -2 Therefore, inverse of a matrix A exists. 2.

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Next find the adjoint matrix of A. Adj A is the transpose of cofactor matrix -2 Matrix of cofactors is, -4 -7 -4 3 0. -4 Thus, Adj A =-2 -4 -7 2. 2.

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