Classical

Linear Algebra - Linear Algebra

11:  

Eigen values of a real symmetric matrix are always

A.

positive

B.

real and imaginary

C.

negative

D.

real

 
 

Option: D

Explanation :

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12:  

 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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13:  

 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: (3:39pm 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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14:  

 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: (3:42pm on Thursday 10th December 2015)
(AB)^T=(B^T)(A^T) =BA
Zakir ali said: (11:30pm on Sunday 30th April 2017)
Please tell me about different type of matrices with example

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15:  

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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