Linear Algebra

1:

 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

 

Answer : A

Explanation :

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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Option: A

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