# Linear Algebra : The Hessian

## Example Questions

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### Example Question #11 : Matrix Calculus

Set up a Hessian Matrix from the following equation,

Explanation:

Recall what a hessian matrix is:

Now let's calculate each second order derivative separately, and then put it into the matrix.

Now we put each entry into its place in the Hessian Matrix, and it should look like

### Example Question #12 : Matrix Calculus

Find the Hessian of the following function.

Explanation:

Recall the Hessian

So lets find the partial derivatives, and then put them into matrix form.

Now lets put them into the matrix

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