Solution

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

(c – I)v = 0

[3]

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

Solutions are = 1 and = 4. Substituting these into [3] and solving, we obtain corresponding eigenvectors

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