Consider the following statements
S1: Sum of the two singular n x n matrices may be nonsingular
S2 : Sum of two the nonsingular 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 : Click on Discuss to view users comments. kabil said: (2:11pm on Sunday 1st 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
Haradhan said: (11:22pm on Sunday 28th January 2018)
I thing option A true.as for ex... A=(2 1) B=(2 1) THEN A B=(0 2) is singular . (12) (1 1) (0 3)

Rank of the matrix

A.  0 
B.  1 
C.  2 
D.  1 
Option: C Explanation : Click on Discuss to view users comments. 
Rank of matrix

A.  3 
B.  1 
C.  2 
D.  4 
Option: D Explanation : Click on Discuss to view users comments. 
Let A = ( ai_{j }) be an nrowed square matrix and I_{12} be the matrix obtained by interchanging the first and second rows of the nrowed identity matrix. Then AJ_{12} is such that its first
A.  row is the same as its second row 
B.  row is the same as the second row of A 
C.  column is the same as the second column of A 
D.  row is all zero 
Option: C Explanation : Click on Discuss to view users comments. 