Question 2: (10 points- 2 each) Answer the following questions. Show your working out. a) Let the matrix A3x5. If the ra
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Question 2: (10 points- 2 each) Answer the following questions. Show your working out. a) Let the matrix A3x5. If the ra
Question 2: (10 points- 2 each) Answer the following questions. Show your working out. a) Let the matrix A3x5. If the rank of A is 2, Find the nullity of A b) If the Eigenvalues of a matrix A3x3 are 1 = 3, 2 and -1, Find |AL I c) If the Eigenvalues of a matrix A2x2 are 1 = -2 and 1 = 1, Find a diagonal Matrix D similar to A d) If P-AP = D. Find A in terms of P and D. e) Let A,B,C and D be 3 x 3 non - singular matrices with |AL = 2, B= -5 and C| = 4, Find (AB)"B-10-21