Question: Show that the 5 5 matrix has an eigenvalue 1 of multiplicity 5. Show that three linearly independent eigenvectors corresponding to 1

Show that the 5 × 5 matrix

2 1 00 0' 0 2 0 0 0 A = 0 0 2 0 0 0 0 0 0 2 1 0 0 0 0 2


has an eigenvalue λ1 of multiplicity 5. Show that three linearly independent eigenvectors corresponding to λ1 can be found.

2 1 00 0' 0 2 0 0 0 A = 0 0 2 0 0 0 0 0 0 2 1 0 0 0 0 2

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