11. Mock Final Exam in GRA6035 12/2010, Problem 1 We consider the matrix A given by...

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11. Mock Final Exam in GRA6035 12/2010, Problem 1 We consider the matrix A given by 11 -4 A= 0t+21-8 0-5 5 a) Compute the determinant and the rank of A. b) Find all eigenvalues of A. c) Determine the values of t such that A is diagonalizable. 11. Mock Final Exam in GRA6035 12/2010, Problem 1 We consider the matrix A given by 11 -4 A= 0t+21-8 0-5 5 a) Compute the determinant and the rank of A. b) Find all eigenvalues of A. c) Determine the values of t such that A is diagonalizable.