Question: 7 -7-5-1 has an eigenvalue = -1 with algebraic multiplicity 2 and geometric The matrix A -1 -1 1-2 multiplicity 1. (a) Calculate the

7 -7-5-1 has an eigenvalue = -1 with algebraic multiplicity 2 and

7 -7-5-1 has an eigenvalue = -1 with algebraic multiplicity 2 and geometric The matrix A -1 -1 1-2 multiplicity 1. (a) Calculate the last eigenvalue and give your answer in the box below. Number (b) In the essay box show that the values of a and are 5 and 2, respectively. (c) Write down a Jordan form J of the matrix A, i.e. A = PJP-1 for some invertible matrix P and J is a Jordan matrix. (Hint: you should not have to do any calculation for this part.)

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