Question: Please help with the following question :)) Matrix A from Problem 6 (3x3): -14 13 -14 7 -8 Detail for the char. polynomial of A:

Please help with the following question :))

Matrix A from Problem 6 (3x3): -14 13 -14 7 -8 Detail for the char. polynomial of A: 6Problem 6 [ 2 + 8 + 2 = 12 marks]: Let A be the (3 x 3)- matrix displayed in cells 635-137 of the Excel Spreadsheet. Move- over, Let I be the number displayed in cell J39. You are given that det ( A - x Is) = - (x-2) ( x+1). Find the eigenvalues of A. b Find the corresponding eigenspace En for each eigenvalue Me of A. What is the dimension of En ? C Diagonalize A by finding an invertible matrix P and a diagonal matrix D such that A = PDP-1 You do not need to compute p

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