if A and B be real symmetric matrices of sizen nxn, then

1.  AT=1

2.  A=A-1

3.  AB=BA

4.  (AB)T=BA

View Answer  
4
Correct Answer :

(AB)T=BA


Explanation :
No Explanation available for this question

rank of the matrix is

1.  0

2.  1

3.  2

4.  3

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

consider the following statements S1:sum of the two singular n n matrices may be non-singular S2: sum of the two non-singular n n matrices may be singular. Which of the following statements is correct

1.  S1 and S2 are both true

2.  S1 is true, S2 is false

3.  S1 is false,S2 is true

4.  S1and S2 are both false

View Answer  
4
Correct Answer :

S1 and S2 are both true


Explanation :
No Explanation available for this question

rank of the matrix is

1.  3

2.  1

3.  2

4.  4

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

Let A=(aij) be an n-rowed square matrix and I12 be the matrix obtained by interchanging the first and second rows of the n-rowed identity matrix. Then AI12 is such that its first

1.  Row is the same as its second row

2.  Row is the same as the second row of A

3.  Column is the same as the second column of A

4.  Row is all zero

View Answer  
4
Correct Answer :

Column is the same as the second column of A


Explanation :
No Explanation available for this question

let Ax=b be a system of linear equations, where A is an mxn matrix and b is an mx1 column vector and x is an nx1 column vector of unknowns.Which of the following is false

1.  The system has a solution if and only if, both A and the augmented matrix [Ab] have the same rank

2.  If m

3.  If m = n and b is a non-zero vector, then the system has a unique solution,

4.  The system will have only a trivial solution when m = n, b is zero vector and rank(A) = n.

View Answer  
4
Correct Answer :

If m = n and b is a non-zero vector, then the system has a unique solution,


Explanation :
No Explanation available for this question

eigen vector(s) of the matrix , α≠0 is (are)

1.  (0,0,α)

2.  (α,0,0)

3.  (0,0,1)

4.  (0,α,0)

View Answer  
4
Correct Answer :

(α,0,0)


Explanation :
No Explanation available for this question

if A=, then An=

1.  

2.  

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

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

1.  C-1A1B-1

2.  C-1B-1A-1

3.  A-1B-1C-1

4.  A-1C-1B-1

View Answer  
4
Correct Answer :

C-1B-1A-1


Explanation :
No Explanation available for this question

consider following two statements: I. the maximum number of linearly independent column vectors of a matrix A is called the rank Of A. II. if A is an n n square matrix, it will be non singular is rank A=n. With reference to the above statements, which of the following applies

1.  Both the statements are false.

2.  Both the statements are true.

3.  I is true but II is false.

4.  I is false but II is true.

View Answer  
4
Correct Answer :

Both the statements are true.


Explanation :
No Explanation available for this question
Previous Next

Interview Questions

MongoDB
Java Script
Node JS
PHP
JQuery
Python