1. Let [2 2 11 M = 1 31 1 2 2 a) Determine if 1 is an eigenvector of M, and if so find its corresponding eigenvalue. ) b) Find a basis for the eigenspace of M corresponding to the eigenvalue 1.
. 2. Let [2 2 11 M = 1 3 1 1 2 2 as in Q1. Find the characteristic polynomial of M. Check your answer by showing that I = 1 and X = 5 are solutions. (You do not need to factorise the polynomial.)
1. Let [2 2 11 M = 1 31 1 2 2 a) Determine if 1 is an eigenvector of M, and if so find its corresponding eigenvalue. ) b
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1. Let [2 2 11 M = 1 31 1 2 2 a) Determine if 1 is an eigenvector of M, and if so find its corresponding eigenvalue. ) b
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