Classical

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
 
 

Option: D

Explanation :

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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
 
 

Option: A

Explanation :

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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

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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

 
 

Option: D

Explanation :

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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

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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

 
 

Option: B

Explanation :

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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?

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

 
 

Option: A

Explanation :

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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

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