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0 votes
2.7k views
in Trigonometry by (41.5k points)

If A and B be two square matrices such that AB = O, then

(A) det A = 0 or det B = 0

(B) det B = 0

(C) B = A-1

(D) det A = 0 

1 Answer

+1 vote
by (41.3k points)
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Best answer

Answer is (A) det A = 0 or det B = 0

AB = 0 ⇒ |AB| = |0| ⇒ |A| |B| = 0

⇒ either |A| = 0 or |B| = 0

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