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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?


S1 and S2 are both true


S1 is true, S2 is false


S1 is false, S2 is true


S1 and S2 are both false

asked in Linear Algebra by gate

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