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aperiodical.com | ||
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yetanothermathprogrammingconsultant.blogspot.com
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| | | | | When using \({\bf diag}(x)\) in a text, there is always the nagging feeling that there must be a nice way to express this in standard matrix... | |
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stephenmalina.com
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| | | | | Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4. | |
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www.johnmyleswhite.com
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| | | | | Lately, I've been running a series of fMRI experiments on visual perception. In the interests of understanding the underlying properties of the images I'm using as stimuli, I've been trying to learn more about the matrix transformations commonly used for image compression and image manipulation. Thankfully, R provides simple-to-use implementations for all of the matrix operations I wanted to play around with, so it's been quite easy to get started. For the next few posts, I thought that I'd review the st... | |
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www.aleksandrhovhannisyan.com
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| | | Some systems of equations do not have a unique solution, but we can find an approximate solution using the method of least squares. Applications of this method include linear and polynomial regression. | ||
