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Consider the following statements:

S1: The sum of two singular n × n matrices may be non-singular
S2: The sum of two n × n non-singular 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

asked in Linear Algebra by gate

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