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Category: Matrices and Determinants

hello-every-one-how-do-they-calculated-the-universe-old-wich-is-13-8-billion-years-

Question Number 97885 by  M±th+et+s last updated on 10/Jun/20 $${hello}\:{every}\:{one} \\ $$$${how}\:{do}\:{they}\:{calculated}\:{the}\:{universe}\:{old} \\ $$$${wich}\:{is}\:\mathrm{13}.\mathrm{8}\:{billion}\:{years} \\ $$ Commented by EmericGent last updated on 10/Jun/20 One way is use the density in function of time and see when the density reach Planck's limit Commented…

A-1-5-6-7-find-A-k-

Question Number 31785 by yesasitya22@gmail.com last updated on 14/Mar/18 $${A}=\:\begin{bmatrix}{\mathrm{1}\:\mathrm{5}}\\{\mathrm{6}\:\mathrm{7}}\end{bmatrix}{find}\:{A}^{{k}} \\ $$ Answered by kaivan.ahmadi last updated on 16/Dec/18 $$\mathrm{sice}\:\mathrm{A}\:\mathrm{is}\:\mathrm{2}×\mathrm{1}\:\mathrm{so}\:\mathrm{we}\:\mathrm{cant}\:\mathrm{calcute}\:\mathrm{A}^{\mathrm{2}} \\ $$$$\mathrm{also}\:\mathrm{A}^{\mathrm{k}} \\ $$ Terms…

Prove-that-determinant-3-a-b-c-a-2-b-2-c-2-a-b-c-a-2-b-2-c-2-a-3-b-3-c-3-a-2-b-2-c-2-a-3-b-3-c-3-a-4-b-4-c-4-a-b-2-b-c-2-c-a-2-

Question Number 30783 by math1967 last updated on 25/Feb/18 $${Prove}\:{that}\begin{vmatrix}{\mathrm{3}}&{{a}+{b}+{c}}&{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }\\{{a}+{b}+{c}}&{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }&{{a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} }\\{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }&{{a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} }&{{a}^{\mathrm{4}}…

help-me-x-3y-z-2-3x-4y-2z-3-2x-7y-3z-5-Gauss-Method-

Question Number 161429 by greg_ed last updated on 17/Dec/21 $$\mathrm{help}\:\mathrm{me}\:! \\ $$$$\begin{cases}{{x}+\mathrm{3}{y}+{z}=\mathrm{2}}\\{−\mathrm{3}{x}+\mathrm{4}{y}+\mathrm{2}{z}=\mathrm{3}}\\{−\mathrm{2}{x}+\mathrm{7}{y}+\mathrm{3}{z}=\mathrm{5}}\end{cases} \\ $$$$\boldsymbol{\mathrm{G}}\mathrm{auss}\:\mathrm{Method}… \\ $$ Commented by 1549442205PVT last updated on 18/Dec/21 $${the}\:{given}\:{system}\:{of}\:{equations}\:{is}\:{not} \\…

let-give-A-1-1-0-0-1-1-1-0-1-calculate-A-n-and-e-A-

Question Number 30191 by abdo imad last updated on 17/Feb/18 $${let}\:{give}\:\:{A}\:=\:\begin{pmatrix}{\:\mathrm{1}\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{1}\:\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\:\mathrm{1}\:\right) \\ $$$${calculate}\:{A}^{{n}} \:\:{and}\:\:{e}^{−{A}} \:\:. \\ $$$$ \\ $$ Terms of Service Privacy…

if-the-line-3x-2y-1-0-transformed-by-matrix-A-1-a-b-2-such-that-the-image-is-the-line-2x-8y-c-0-find-the-value-of-a-b-c-

Question Number 95260 by i jagooll last updated on 24/May/20 $$\mathrm{if}\:\mathrm{the}\:\mathrm{line}\:\mathrm{3x}+\mathrm{2y}−\mathrm{1}=\mathrm{0}\:\mathrm{transformed} \\ $$$$\mathrm{by}\:\mathrm{matrix}\:\mathrm{A}=\begin{pmatrix}{\mathrm{1}\:\:\:\mathrm{a}}\\{\mathrm{b}\:\:\:\mathrm{2}}\end{pmatrix}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{the}\:\mathrm{image}\:\mathrm{is}\:\mathrm{the}\:\mathrm{line}\:\mathrm{2x}+\mathrm{8y}+\mathrm{c}=\mathrm{0} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{a}×\mathrm{b}×\mathrm{c}\: \\ $$ Commented by mr W last updated…

let-give-A-0-1-0-0-0-1-1-0-0-1-find-A-3-2-find-e-tA-

Question Number 29032 by abdo imad last updated on 03/Feb/18 $$ \\ $$$${let}\:{give}\:{A}\:=\:\begin{pmatrix}{\mathrm{0}\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{1}\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\mathrm{0}\right. \\ $$$$\left.\mathrm{1}\right)\:{find}\:{A}^{\mathrm{3}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:{e}^{{tA}} \:\:. \\ $$ Terms of Service…