The matrix A given below has an eigenvalue λ = -2. Find a basis of the eigenspace corresponding to this eigenvalue. [ A = 1 6 6 7 -8 12 -16 14 - 18

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A: Step 1:Let A=⎣⎢⎡​53−3​35−3​99−7​⎦⎥⎤​. Now, ∣A−λI∣=∣A−2I∣,  I is the identity matrix of order 3.…

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