Question: 10 0 2. Let B = 4 2 Z 8 8 (a) Given that 0 is an eigenvalue of B with eigenvector v = ,

10 0 2. Let B = 4 2 Z 8 8 (a) Given that 0 is an eigenvalue of B with eigenvector v = , Set By = 0 to determine y. (b) Given that u = is also an eigenvector of B, determine the corresponding eigenvalue and the value of z. (c) Hence use the trace of B to determine all of its eigenvalues. (d) Determine whether B is diagonalisable, giving reasons

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