Category: Algebra

Question Number 118896 by bobhans last updated on 20/Oct/20 Answered by benjo_mathlover last updated on 20/Oct/20 $$\to \left(\begin{array}{c}2b\\ b2\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}{ac}^2+c\\ c-1\end{array}\right)$$$$\to \left(\begin{array}{c}x\\ y\end{array}\right)=\frac{1}{4-b^2}\left(\begin{array}{c}2-b\\ -b2\end{array}\right)\left(\begin{array}{c}{ac}^2+c\\ c-1\end{array}\right)$$$$\rightarrow$$\left(\begin{array}{c}x\\ y\end{array}\right)$$\:=\:\frac{\mathrm{1}}{\mathrm{4}−{b}^{\mathrm{2}} }\:\begin{pmatrix}{\mathrm{2}{ac}^{\mathrm{2}}…

Question Number 184384 by Shrinava last updated on 05/Jan/23 Commented by Rasheed.Sindhi last updated on 05/Jan/23 $$0?$$ Commented by Shrinava last updated on…

Question Number 184377 by mathlove last updated on 05/Jan/23 Commented by mathlove last updated on 05/Jan/23 $$$$Determine the distance between the first two…

Question Number 118790 by mathocean1 last updated on 19/Oct/20 $$\mathrm{Show}\mathrm{by}\mathrm{recurence}\mathrm{that}$$$${(\mathrm{a}+\mathrm{b})}^{\mathrm{n}}=\underset{\mathrm{k}=0}{\sum ^{\mathrm{n}}}{\mathrm{C}}_{\mathrm{n}}^{\mathrm{k}}\times {\mathrm{a}}^{\mathrm{k}}\times {\mathrm{b}}^{\mathrm{n}-\mathrm{k}}$$ Terms of Service Privacy Policy…

Question Number 118775 by obaidullah last updated on 19/Oct/20 $$2,2,2,2,2$$$$X=\frac{2+2+2+2+2}{5}=\frac{10}{5}=2$$$$V=\frac{{(2-2)}^2+{(2-2)}^2+{(2-2)}^2+{(2-2)}^2+{(2-2)}^2}{5}$$$$Variance=0$$ Terms of…