GATE EC 2015 Set 3 — Question 11
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Engineering Mathematics → Linear Algebra → Determinants
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Question
For , the determinant of is
Correct answer
(C) 1
Solution
The determinant of a product of matrices is the product of their determinants. Thus, .
Using the properties of determinants:
Therefore, .
Using the properties of determinants:
1.
2. (provided )
For the given matrix , . Since is never zero for real , is invertible.Therefore, .
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