Math, asked by hafreen12b06, 2 days ago

If A and B are any two Natrium such as AB=0 and A is non- singular, Then​

Answers

Answered by adityavanshraj05
0

Answer:

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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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