Questions
If A, B are two n x n non-singular matrices, then
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a
AB is non-singular
b
AB is singular
c
(AB)−1=A−1B−1
d
(AB)−1 does not exist
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Correct option is A
We have,|AB|=|A||B|≠0 [∵|A|≠0,|B|≠0]Therefore, AB is a non-singular matrix.Consequently, (AB)−1 exists and (AB)−1=B−1 A−1Similar Questions
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