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Question

If determinant of matrix ∣∣ ∣∣abcdefghi∣∣ ∣∣ is A , then determinant of ∣∣ ∣∣adgbehcfi∣∣ ∣∣ is -A.


A

True

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B

False

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Solution

The correct option is B

False


If we clearly see that second matrix is the transpose of the first one. And we already know that determinant of the transpose of a matrix is same as the original one. So if determinant of the original one is A then the determinant of the second one will be A as well and not –A.

So the correct answer is false.


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