Category: Matrices and Determinants

Question Number 127541 by Study last updated on 30/Dec/20 $$canwefindthe4\times 4matricsinevers$$$$multiplicativematrics???$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 192464 by Engr_Jidda last updated on 18/May/23 Commented by a.lgnaoui last updated on 19/May/23 $$X^{\prime }?$$ Terms of Service Privacy Policy Contact:…

Question Number 60303 by Cheyboy last updated on 19/May/19 Answered by tw000001 last updated on 18/Oct/19 $$\det \left|\begin{array}{ccc}2& -1& 5\\ 3& 4& 0\\ -2& 1& 9\end{array}\right|=154$$$$\to {\left[\begin{array}{ccc}2& -1& 5\\ 3& 4& 0\\ -2& 1& 9\end{array}\right]}^{-1}=\left[\begin{array}{ccc}\frac{18}{77}& \frac{1}{11}& -\frac{10}{77}\\ -\frac{27}{154}& \frac{2}{11}& \frac{15}{154}\\ \frac{1}{14}& 0& \frac{1}{14}\end{array}\right]$$$$\det \left|\begin{array}{ccc}9& 7& 5\\ 1& 4& 3\\ 7& 5& -2\end{array}\right|=-161$$$$\rightarrow$$\left[\begin{array}{ccc}9& 7& 5\\ 1& 4& 3\\ 7& 5& -2\end{array}\right]$$^{−\mathrm{1}} =$$\left[\begin{array}{ccc}\frac{1}{7}& -\frac{39}{161}& -\frac{1}{161}\\ -\frac{1}{7}& \frac{53}{161}& \frac{22}{161}\\ \frac{1}{7}& -\frac{4}{161}& -\frac{29}{161}\end{array}\right]$$…

Question Number 191030 by cortano12 last updated on 16/Apr/23 Answered by Frix last updated on 16/Apr/23 $$t+\frac{1}{t}=3$$$${(t+\frac{1}{t})}^2=9\iff t^2+\frac{1}{t^2}=7$$$$\left({t}+\frac{\mathrm{1}}{{t}}\right)^{\mathrm{3}} =\mathrm{27}\:\Leftrightarrow\:{t}^{\mathrm{3}}…

Question Number 59295 by pooja24 last updated on 07/May/19 $$LetAbe3\times 3matrixwitheigenvalues$$$$1,-1,0.ThendeterminantofI+A^{100}=??$$ Answered by alex041103 last updated on 10/May/19 $$basically$$$${A}={PDP}^{−\mathrm{1}}…