The eigenvalue of the matrix A is A=1 and the eigenvectors of it at this A are | 1 Find the constant a, b,c [1 A = b 2 a 1 1 C -2]

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A: Problem is solved using concept of eigen values and eigen vector.

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A: To solve this question first we solve for Eigen values and the find the Eigen vector.

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A: Explanation of the solution is given below....

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A: Given that, Eigen values, λ=0, 18, -18 So consider U=000018000-18 And corresponding eigen vector,…