Category: Matrices and Determinants

Question Number 195185 by Erico last updated on 26/Jul/23 $$1/\mathrm{Montrer}\mathrm{que}{\underset{0}{\int }}^{+\mathrm{\infty }}\frac{{(1-x^2)}^{2p-1}}{1-x^{4p}}dx=\left(\frac{2^{2p-3}}{p}\right)\pi [1+2\underset{k=1}{\sum ^{p-1}}{cos}^{2p-1}\left(\frac{k\pi }{2p}\right)]$$$$\mathrm{2}/\:\:\:\:\mathrm{En}\:\mathrm{d}\acute {\mathrm{e}duire}\:\underset{\:\mathrm{0}} {\int}^{\:\mathrm{1}} \frac{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)^{\mathrm{2}{p}−\mathrm{1}}…

Question Number 194642 by horsebrand11 last updated on 12/Jul/23 $$\mathrm{If}\mathrm{A}=\left(\begin{array}{c}\mathrm{a}\mathrm{b}\mathrm{c}\\ \mathrm{b}\mathrm{c}\mathrm{a}\\ \mathrm{c}\mathrm{a}\mathrm{b}\end{array}\right)\mathrm{and}\mathrm{a},\mathrm{b},\mathrm{c}>0$$$$\mathrm{such}\mathrm{that}\mathrm{abc}=1\mathrm{and}{\mathrm{A}}^{\mathrm{T}}.\mathrm{A}=\mathrm{I}$$$$\mathrm{find}{\mathrm{a}}^3+{\mathrm{b}}^3+{\mathrm{c}}^3-3\mathrm{abc}.$$ Answered by som(math1967) last updated…

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Question Number 129886 by zarawan last updated on 23/Jan/21 $$FindNullspaceofthefollowingmatrixandalsofindbasisforthenullspace.$$$$\left[\begin{array}{ccccc}1& 1& 0& 0& 1\\ 0& 0& 1& -2& 0\\ 4& 2& 0& 0& 3\\ 1& 1& 1& -2& 1\\ 2& 2& 0& 0& 2\\ 1& 1& 2& 4& 1\end{array}\right]$$ Terms of Service Privacy Policy Contact: info@tinkutara.com