# 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* − λ

**) is zero, a condition that yields the equation**

*I*[s1]

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

[s2]