Consider the following statements: S1: The sum of two singular n × n matrices…

GATE · 2001 · CS · Question 1 subparts

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?

  1. A.

    S1 and S2 are both true

  2. B.

    S1 is true, S2 is false

  3. C.

    S1 is false, S2 is true

  4. D.

    S1 and S2 are both false

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