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Example Question #1 : Gradients Of The Determinant
Which of the following expressions is one for the gradient of the determinant of an matrix ?
Possible Answers:
None of the other answers
Correct answer:
Explanation:
The expression for the determinant of using co-factor expansion (along any row) is
In order to find the gradient of the determinant, we take the partial derivative of the determinant expression with respect to some entry in our matrix, yielding .
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