As you can check, the matrix A = 1 -1 -2 -2 has an eigenvalue -1 with eigenvector-2 23/1 -4 4 7 and an eigenvalue 3 of multiplicity 2 with eigenvector A scalar multiples of 1 solving (A-31)₂ = ₁. Write v2 below: - A 1 1 -1 but all other eigenvectors for X = 3 are 12 so A has a defect of 1. Find a generalized eigenvector 2 for X = 3 by

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A: according to guidelines we can solved only first 3 subparts thank you   We have the eigen values of…

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A: λ is an eigen value of a matrix A if  detA-λI=0where I is identity matrix of order same as of A.

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A: Solution of the given question is like as

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A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…