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If A and B are any
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a
det A=0 and det B=0
b
det A +det B≠0
c
det A=0 or det B=0
d
None of these
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Correct option is B
Let A=[1−110] and B=[−11−10] ⇒ A+B=[0000] ∴ det(A+B)=0 But det A=1, det B=1, ∴ det A≠0, det B≠0 ∴ det (A+B)≠det A+det B
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