Category: Matrices and Determinants

Question Number 183814 by ali009 last updated on 30/Dec/22 $$determineeigenvaluesandeigenvectorsfor$$$$each\lambda .andverifyAx=\lambda x$$$$A=\left[\begin{array}{cc}\frac{\sqrt{3}}{2}& -\frac{1}{2}\\ \frac{1}{2}& \frac{\sqrt{3}}{2}\end{array}\right]$$ Answered by TheSupreme last updated on 30/Dec/22 $$\left\{{x}\right\}'={A}\left\{{x}\right\}\:{is}\:{a}\:{rotation}\:{of}\:\frac{\pi}{\mathrm{6}}\:{rads}\:{counterclockwise} \…

Question Number 118090 by bemath last updated on 15/Oct/20 $$\mathrm{find}\left|\begin{array}{c}\frac{{\mathrm{a}}^2+{\mathrm{b}}^2}{\mathrm{c}}\mathrm{c}\mathrm{c}\\ \mathrm{a}\frac{{\mathrm{b}}^2+{\mathrm{c}}^2}{\mathrm{a}}\mathrm{a}\\ \mathrm{b}\mathrm{b}\frac{{\mathrm{a}}^2+{\mathrm{c}}^2}{\mathrm{b}}\end{array}\right|=?$$ Commented by bemath last updated on 15/Oct/20…

Question Number 183425 by ali009 last updated on 25/Dec/22 $$findtherankofthematrixAandBby$$$$followingrowoperation:$$$$A=\left[\begin{array}{cccc}1& 2& 3& -1\\ -2& -1& -3& -1\\ 1& 0& 1& 1\\ 0& 1& 1& -1\end{array}\right]$$$$B=\left[\begin{array}{cccc}1& 2& -1& 4\\ 2& 4& 3& 5\\ -1& -2& 6& -7\end{array}\right]$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 183240 by ali009 last updated on 23/Dec/22 $$findthevalueofcofficent\mu inthefollowing$$$$systemfromthedeterminat:$$$$2x_1+\mu x_2+x_3=0$$$$(\mu -1)x_1-x_2+2x_3=0$$$$\mathrm{4}{x}_{\mathrm{1}} +{x}^{\mathrm{2}}…

Question Number 116746 by bemath last updated on 06/Oct/20 $$\mathrm{Find}\mathrm{an}\mathrm{orthogonal}\mathrm{matrix}\mathrm{A}\mathrm{whose}$$$$\mathrm{first}\mathrm{row}\mathrm{is}{\mathrm{u}}_1=(\frac{1}{3},\frac{2}{3},\frac{2}{3}).$$ Answered by john santu last updated on 06/Oct/20 $${First}\:{step}\:{find}\:{a}\:{nonzero}\:{vector}\: \…