Q1.1

MCQ1 mark, −0.25

Consider the following statements: S1: The sum of two singular $n \times n$ matrices may be non-singular S2: The sum of two $n \times n$ non-singular matrices may be singular Which one of the following statements is correct?

(A)

$S1$ and $S2$ both are true

(B)

$S1$ is true, $S2$ is false

(C)

$S1$ is false, $S2$ is true

(D)

$S1$ and $S2$ both are false

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