# Linear Algebra - Linear Algebra

11:

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

 A. normal B. symmetric C. Hermitian D. orthogonal Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
12:

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

 A. A and B are orthogonal B. A and B are singular C. B is singular D. A is singular Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. MABUD ALI SARKAR said: (10:39pm on Thursday 10th December 2015) SINCE PRODUCT OF TWO NON-ZERO VECTORS IMPLIES THEY ARE ORTHOGONAL TO EACH OTHER. SO A and B ARE ORTHOGONAL Write your comments here:
13:

If A and B be real symmetric matrices of sizen n x n, then

 A. AAT = 1 B. A = A-1 C. AB = BA D. (AB)T = BA Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. MABUD ALI SARKAR said: (10:42pm on Thursday 10th December 2015) (AB)^T=(B^T)(A^T) =BA Zakir ali said: (6:30am on Monday 1st May 2017) Please tell me about different type of matrices with example Write your comments here:
14:

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

 A. C-1A-1B-1 B. C-1 B-1 A-1 C. A-1 B-1C-1 D. A-1 C-1 B-1 Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
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?

 A. S1 and S2 are both true B. S1 is true, S2 is false C. S1 is false, S2 is true D. S1 and S2 are both false Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. kabil said: (12:11am on Monday 2nd September 2013) i thing option b may be correct because two singular matrix satisfy.but two non singular matrix doesn't satisfy. sorry if i did wrong Write your comments here:

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