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The matrix A 7 B 7 5 1 has an eigenvalue 1 with algebraic multiplicity...

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The matrix A 7 B 7 5 1 has an eigenvalue 1 with algebraic multiplicity 2 and geometric 1 2 1 1 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 3 are 5 and 2 respectively c Write down a Jordan form J of the matrix A i e A PJP 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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