# ajay

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bio website location Ann Arbor, MI age member for 4 years seen Sep 6 '13 at 20:13 profile views 19

# 21 Actions

 Jul31 awarded Nice Answer Sep5 asked Which subject deals with questions like “Distance from hyperplane to a point” Sep4 comment Applications/Motivations of matrix decomposition techniques Are you saying that the purpose of SVD is to approximate? Sep4 comment Applications/Motivations of matrix decomposition techniques Well, I am still confused. Is everyone implying here that Matrix decomposition techniques were primarily invented to overcome computational limitations. In that sense it is more of an strategy to improve the speed or accuracy of other real algorithms. I was under the assumption that Matrix decomposition also provides additional insights into the properties of the matrix in itself; In way I was hoping for Matrix decomposition to be more of a tool for a Mathematician deriving proofs rather than to an engineer who needs to implement a particular numeric algorithm Sep4 asked Applications/Motivations of matrix decomposition techniques Sep4 comment How to calculate gradient of $x^TAx$ What is $M_{n}(ℝ)$ .. Manifold? Sep3 revised How to calculate gradient of $x^TAx$ added 4 characters in body Sep3 awarded Scholar Sep3 accepted How to calculate gradient of $x^TAx$ Sep3 comment How to calculate gradient of $x^TAx$ Yes! Thanks a lot! Sep3 awarded Student Sep3 awarded Supporter Sep3 comment How to calculate gradient of $x^TAx$ The above comments by others indicate that he applied the product rule for differentials. Unfortunately, I am unable to find a proof for the result of product rule for differentials. Any help there would be great. Sep3 comment How to calculate gradient of $x^TAx$ The lecture says that using the properties of external definition of derivative, we can avoid representing it as "sums" and this simplifies the whole calculation Sep3 comment How to calculate gradient of $x^TAx$ Thanks. It's product rule indeed. But, where can I find a proof for the product rule for multivariable functions using differentials? I am not finding en.wikipedia.org/wiki/Product_rule convincing because uses the term differential very loosely. Is there a product rule proof using differential form properties? Sep3 asked How to calculate gradient of $x^TAx$ Sep2 awarded Editor Sep2 revised How to prove matrix differential rules using differential forms rules added 178 characters in body Sep2 asked How to prove matrix differential rules using differential forms rules Aug5 awarded Teacher