MATRICES Problems and answers for class xii CBSE

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MATRICES FOR CLASS XII CBSE (Time 1hr) 1. If is additive inverse of . Find x, y, z and t 3 2. If A = . Show that A2 = 3 3. If A = and A2 – xA + yI = 0. Find the value of x and y 34. Express as the sum of skew and skew symmetric matrices. 4 5. is a skew symmetric, find value of x. 46. Prove that value of the determent is independent of . 47. Solve for x. = 0. 48. Find value of x, If matrix A is not invertible. A= 49. Classify the following system of equations as consistent or inconsistent. If consistent solve it. x – y + 3z = 6, x + 3y – 3z = – 4 and 5x + 3y + 3z = 10 6 Answers 1. 3. x = 9, y = 144. 5. x = 36. – x37. x = 2, - 3, 18.9. Consistent.

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