Exercise 5.12 Let V= ((1,1,2), (1, 0, 1)). a) Determine V+. b) Determine, if possible, a non invertible symmetric matrix A having V as eigenspace eigenvalue - 1. c) Determine an orthonormal basis of eigenvectors for A. d) Say if there are values of k € R such that A is similar to the matrix -1 k 1 (59) 0 -1 1 0 00 Bk 2

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