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If A and B are non-singular of the same order, then AB is:
ANon-singular
BSingular one
CAlways zeros
DNot defined
Answer & Solution
Correct answer: A. Non-singular
1. Multiplying two invertible matrices keeps invertibility.
2. Their determinants are both non-zero.
3. So AB and BA are also non-singular.
4. The answer is non-singular.
_Source: NCERT Class 12 Mathematics, Ch 4 'Determinants'_
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