Exercise Solution 2.7

Denote the matrix c. We first find its eigenvalues. These are values λ such that

[2.68]

for some non-zero vector ν. This is possible only if the determinant of (c − λI) is zero, a condition that yields the equation

[s1]

Solutions are λ = 1 and λ = 4. Substituting these into [2.68] and solving, we obtain corresponding eigenvectors

[s2]

 

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