Linear Algebra : The Gradient

Study concepts, example questions & explanations for Linear Algebra

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Example Questions

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Example Question #1 : The Gradient

What is the the gradient vector of the following function?

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Explanation:

Recall that

 

All we need to do is calculate 3 partial derivatives, and put them into this form.

 

Put these into vector form to get

 

Example Question #2 : The Gradient

Find the gradient vector of the following function.

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Correct answer:

Explanation:

To find the gradient vector, we need to find the partial derivatives in respect to x and y.

 

 

Then our final answer looks like

 

Example Question #1 : Linear Algebra

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Example Question #4 : The Gradient

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Example Question #1 : Matrix Calculus

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Example Question #1 : Matrix Calculus

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Example Question #1 : The Gradient

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Example Question #8 : The Gradient

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Example Question #1 : Matrix Calculus

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Example Question #10 : The Gradient

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