If A and B are any two Natrium such as AB=0 and A is non- singular, Then
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Step-by-step explanation:
Correct option is B)
A is non-singular ⇒∣A∣
=0
Given that AB=0, taking determinants on both sides, we have
∣A.B∣=0
∴∣A∣×∣B∣=0
Product of two numbers is zero if and only if one of them is zero.
Since A is non-singular matrix, B has to be singular, meaning that its determinant has to be zero.
The matrix need not be zero.
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