Exercise 4.13 Consider the subspace 200 W=( 020 002 " 21 020 002 " 210 0 2 1CM(3 x 3, R). 002 a) Determine the subset S of matrices of W admitting 2 as eigenvalue. Is S a subspace? Is it a linear variety? b) Determine which among the matrices of S are diagonalisable. d) Determine which among the matrices of S are similar to a Jordan matrix with two blocks.

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