- #1
Chris L T521
Gold Member
MHB
- 913
- 0
Here's this week's problem!
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Problem: Let $J$ denote the Jacobian matrix. Show that if $f$ has continuous second-order partial derivatives and $\mathbf{F}(\mathbf{x}) = (Jf(\mathbf{x}))^T$, then $J\mathbf{F}(\mathbf{x})$ is a symmetric matrix.
-----Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!
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Problem: Let $J$ denote the Jacobian matrix. Show that if $f$ has continuous second-order partial derivatives and $\mathbf{F}(\mathbf{x}) = (Jf(\mathbf{x}))^T$, then $J\mathbf{F}(\mathbf{x})$ is a symmetric matrix.
-----Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!
