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Category: Matrices and Determinants

If-a-b-b-c-3d-c-2c-d-8-1-7-6-then-a-b-c-d-A-53-7-B-18-7-C-43-7-D-38-7-E-53-7-

Question Number 89649 by jagoll last updated on 18/Apr/20 $$\mathrm{If}\:\begin{pmatrix}{\mathrm{a}−\mathrm{b}\:\:\:\:\:\:\mathrm{b}+\mathrm{c}}\\{\mathrm{3d}+\mathrm{c}\:\:\:\:\:\mathrm{2c}−\mathrm{d}}\end{pmatrix}\:=\:\begin{pmatrix}{\mathrm{8}\:\:\:\:\mathrm{1}}\\{\mathrm{7}\:\:\:\:\mathrm{6}}\end{pmatrix} \\ $$$$\mathrm{then}\:\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}\:=\: \\ $$$$\mathrm{A}.\:−\frac{\mathrm{53}}{\mathrm{7}}\:\:\:\:\:\:\:\mathrm{B}.\:−\frac{\mathrm{18}}{\mathrm{7}}\:\:\:\:\:\:\:\mathrm{C}.\:\frac{\mathrm{43}}{\mathrm{7}} \\ $$$$\mathrm{D}.\:\frac{\mathrm{38}}{\mathrm{7}}\:\:\:\:\mathrm{E}.\:\frac{\mathrm{53}}{\mathrm{7}} \\ $$ Commented by jagoll last updated on 18/Apr/20…

5-3-3-2-A-2-5-5-1-4-7-6-2-Find-4A-1-

Question Number 22432 by Joel577 last updated on 18/Oct/17 $$\begin{pmatrix}{\mathrm{5}\:\:\:\mathrm{3}}\\{\mathrm{3}\:\:\:\mathrm{2}}\end{pmatrix}{A}\:+\:\begin{pmatrix}{\mathrm{2}\:\:\:\mathrm{5}}\\{\mathrm{5}\:\:\:\mathrm{1}}\end{pmatrix}\:=\:\begin{pmatrix}{\mathrm{4}\:\:\:\:\mathrm{7}}\\{\mathrm{6}\:\:\:\:\mathrm{2}}\end{pmatrix} \\ $$$$\mathrm{Find}\:\mid\mathrm{4}{A}^{−\mathrm{1}} \mid \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-153486

Question Number 153486 by roxceefocus last updated on 07/Sep/21 Answered by liberty last updated on 08/Sep/21 $$\:{det}\left({F}\right)=\mathrm{3}\left(\mathrm{0}\right)−\mathrm{4}\left(\mathrm{0}−\mathrm{4}\right)+\mathrm{2}\left(\mathrm{0}+\mathrm{2}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{16}+\mathrm{4}=\mathrm{20} \\ $$$$\begin{pmatrix}{{x}}\\{{y}}\\{{z}}\end{pmatrix}\:=\frac{\mathrm{1}}{\mathrm{20}}\:{adj}\begin{pmatrix}{\mathrm{3}\:\:\:\:\:\:\mathrm{4}\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{0}\:\:−\mathrm{1}\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{2}\:\:\:\:\:\:\mathrm{1}\:\:−\mathrm{2}}\end{pmatrix}\:\begin{pmatrix}{−\mathrm{1}}\\{−\mathrm{8}}\\{\:\:\:\mathrm{6}}\end{pmatrix} \\ $$ Terms of…