] 1. Use the characteristic polynomial to find the eigenvalues of A. Call them X₁ and X2. Consider the matrix A = 2. Find an eigenvector for each eigenvalue. That means, find nonzero vectors ₁ and 2 such that Av₁ = X₁₁ and Av₂ = X₂0₂.

Q: What is the relationship between the characteristic polynomial and the eigenvalues of A?

A: Here. We have to find the relationship between eigenvalues and characteristics polynomial.

Q: and find the corresponding eigenvector.

A: λ is an eigen value if we have Av=λv for some v non-zero.v is called eigen vector.

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Q: 1 -1 -1 1 -1 1 1 -1

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