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 : 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)
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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 = ( 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 AJ12 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. |