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11. If AT = A-1, where A is a real matrix, then A is
normal
symmetric
Hermitian
orthogonal
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12. If A and B are non-zero square matrices, then AB = 0 implies
A and B are orthogonal
A and B are singular
B is singular
A is singular
13. If A and B be real symmetric matrices of size n x n, then
AAT = 1
A = A-1
AB = BA
(AB)T = BA
14. If, A, B, C are square matrices of the same order, then (ABC)-1 is equal to
C-1A-1B-1
C-1 B-1 A-1
A-1 B-1C-1
A-1 C-1 B-1
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?
S1 and S2 are both true
S1 is true, S2 is false
S1 is false, S2 is true
S1 and S2 are both false
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