Category: Matrices and Determinants

Question Number 57790 by pete last updated on 12/Apr/19 $$\mathrm{Given}\mathrm{N}=\left[\begin{array}{c}53\\ 64\end{array}\right]\mathrm{and}\mathrm{P}=\left[\begin{array}{c}4-3\\ -65\end{array}\right],$$$$\mathrm{find}\mathrm{NP}\mathrm{and}\mathrm{deduce}\mathrm{the}\mathrm{inverse}\mathrm{of}\mathrm{P}.$$ Answered by math1967 last updated on 12/Apr/19 $$\left[\begin{array}{cc}5& 3\\ 6& 4\end{array}\right]\left[\begin{array}{cc}4& -3\\ -6& 5\end{array}\right]=\left[\begin{array}{cc}20-18& -15+15\\ 24-24& -18+20\end{array}\right]$$$$$$\left[\begin{array}{cc}2& 0\\ 0& 2\end{array}\right]$$=\mathrm{2}{I} \…

Question Number 57633 by rahul 19 last updated on 09/Apr/19 Answered by tanmay.chaudhury50@gmail.com last updated on 09/Apr/19 $$A=\mid 001\mid$$$$\mid (2-c)(b-c)c\mid$$$$\:\:\:\:\:\:\:\:\mid\mathrm{4}−{c}^{\mathrm{2}} \:\:\:\:\:\:{b}^{\mathrm{2}} −{c}^{\mathrm{2}} \:\:\:\:{c}^{\mathrm{2}}…

Question Number 57044 by mr W last updated on 29/Mar/19 Commented by mr W last updated on 29/Mar/19 $$reposted$$$$QuestionfromTinkutarasir$$ Answered by…

Question Number 56339 by Tinkutara last updated on 14/Mar/19 Answered by tanmay.chaudhury50@gmail.com last updated on 15/Mar/19 $$x=a_{3}y+a_2(a_{2}x+a_{1}y)$$$${x}−{a}_{\mathrm{2}} ^{\mathrm{2}} {x}={y}\left({a}_{\mathrm{3}}…

Question Number 121523 by benjo_mathlover last updated on 09/Nov/20 $$\mathrm{Given}\mathrm{A}\mathrm{a}3\mathrm{\times }3\mathrm{matrix}\mathrm{satisfy}$$$$\to \{\begin{array}{l}\mathrm{A}\left(\begin{array}{c}1\\ 2\\ 3\end{array}\right)=\left(\begin{array}{c}3\\ 4\\ 2\end{array}\right)\\ \mathrm{A}\left(\begin{array}{c}5\\ 9\\ 7\end{array}\right)=\left(\begin{array}{c}3\\ 1\\ 2\end{array}\right)\end{array}$$$$.\mathrm{Find}\mathrm{A}\left(\begin{array}{c}10\\ 18\\ 14\end{array}\right)?$$ Commented by liberty last updated on 09/Nov/20 $$\Leftrightarrow\:\mathrm{A}$$\left(\begin{array}{c}10\\ 18\\ 14\end{array}\right)$$\:=\:\mathrm{2A}$$\left(\begin{array}{c}5\\ 9\\ 7\end{array}\right)$$\:=\:\mathrm{2}$$\left(\begin{array}{c}3\\ 1\\ 2\end{array}\right)$$\:=\:$$\left(\begin{array}{c}6\\ 2\\ 4\end{array}\right)$$ \…