Category: Algebra

Question Number 49169 by rahul 19 last updated on 04/Dec/18 $$Findtheleastpositiveintegernsuch$$$$that{\left(\frac{2i}{1+i}\right)}^{n}isa+veinteger?$$ Answered by tanmay.chaudhury50@gmail.com last updated on 04/Dec/18 $$\left(\frac{\mathrm{2}{i}\left(\mathrm{1}−{i}\right)}{\mathrm{2}}\right)^{{n}} \…

Question Number 49147 by behi83417@gmail.com last updated on 03/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 03/Dec/18 $$ab-ad+cd-bc=0$$$$a(b-d)-c(b-d)=0$$$$(a-c)(b-d)=0$$$$eithera=corb=d$$$${let}\:{a}={c}…

Question Number 180207 by Acem last updated on 09/Nov/22 $$\frac{2}{15},\frac{11}{40},\frac{26}{75},\frac{47}{120},\dots$$$$$$ Answered by Rasheed.Sindhi last updated on 09/Nov/22 $$Numerators:$$$$$$\left[\begin{array}{ccccccccc}2& & 11& & 26& & 47& & 74\\ & 9& & 15& & 21& & 27& \\ & & 6& & 6& & 6& & \end{array}\right]$$\:\: \…

Question Number 180196 by Shrinava last updated on 08/Nov/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 180188 by Shrinava last updated on 08/Nov/22 Answered by Rasheed.Sindhi last updated on 09/Nov/22 $$\mathcal{F}ormulas:$$$$\overline{)\begin{array}{c}\left[\begin{array}{cc}l& m\\ -m& l\end{array}\right]\left[\begin{array}{cc}p& q\\ -q& p\end{array}\right]={\left[\begin{array}{cc}lp-mq& lq+mp\\ -(lq+mp)& lp-mq\end{array}\right]}_{}^{}\end{array}}$$$$\begin{array}{|c|}{\left($$\left[\begin{array}{cc}l& m\\ -m& l\end{array}\right]$$\right)^{\mathrm{2}} \:=\begin{bmatrix}{{l}^{\mathrm{2}} −{m}^{\mathrm{2}}…