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Mathematics - Vectors and Matrices

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11. If AT = A-1, where A is a real matrix, then A is

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12. If A and B are non-zero square matrices, then AB = 0 implies

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13. If A and B be real symmetric matrices of size n x n, then

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14. If, A, B, C are square matrices of the same order, then (ABC)-1 is equal to

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15. Consider the following statements                                                    

S1: Sum of the two singular n x n matrices may be non-singular

S2 : Sum of two the non-singular nx n matrices may be singular. Which of the following statements is correct?

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