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Category: Matrices and Determinants

let-give-2-3-3-A-1-0-1-1-1-0-find-a-diagoal-matri

Question Number 28257 by abdo imad last updated on 22/Jan/18 $${let}\:{give}\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\:\:\:\:\:\mathrm{2}\:\:\:\:\:\:\:\mathrm{3}\:\:\:\:\:\:\:−\mathrm{3}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{A}\:\:\:\:\:=\:\:\:\:\:\:\left(\:\:−\mathrm{1}\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}\right)\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\:\:\:−\mathrm{1}\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}\:\:\right)\: \\ $$$${find}\:{a}\:{diagoal}\:{matrice}\:{D}\:{and}\:{a}\:{inversible}\:{matrice}\:{P}\:\:{wich} \\ $$$${verify}\:{A}\:\:=\:{P}.{D}.{P}^{−\mathrm{1}} \:\:\:{and}\:\:{calculate}\:{A}^{{n}} . \\ $$…

let-give-A-1-1-1-1-1-1-find-A-n-for-n-integr-1-1-1-

Question Number 28256 by abdo imad last updated on 22/Jan/18 $$\left.{let}\:{give}\:\:\:{A}=\:\:_{\:\:\:\:\left(\right.} \:−\mathrm{1}\:\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\mathrm{1}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\:\:\:\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:−\mathrm{1}\:\:\:\:\mathrm{1}\right)\:\:\:\:\:\:\:{find}\:\:{A}^{{n}} \:\:{for}\:{n}\:{integr}. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\:\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:−\mathrm{1}\right) \\ $$$$\:\:\:\: \\ $$ Terms of Service Privacy…

let-give-p-1-2-1-1-and-D-3-6-2-2-calculate-A-p-D-p-1-

Question Number 28255 by abdo imad last updated on 22/Jan/18 $${let}\:{give}\:{p}=\left(_{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:−\mathrm{2}} ^{\mathrm{1}\:\:\:\:\:\:\:\:\:\:−\mathrm{1}} \:\:\right)\:\:{and}\:\:{D}=\:\:\left(_{\mathrm{3}\:\:\:\:\:\:\:\:\:\:−\mathrm{6}} ^{\mathrm{2}\:\:\:\:\:\:\:\:−\mathrm{2}} \:\right)\:{calculate} \\ $$$${A}=\:{p}.{D}.{p}^{−\mathrm{1}} \:. \\ $$ Terms of Service Privacy Policy…

find-an-explicit-formula-for-the-sequence-2-3-4-5-8-9-16-17-32-33-

Question Number 159222 by physicstutes last updated on 14/Nov/21 $$\mathrm{find}\:\mathrm{an}\:\mathrm{explicit}\:\mathrm{formula}\:\mathrm{for} \\ $$$$\mathrm{the}\:\mathrm{sequence} \\ $$$$\frac{\mathrm{2}}{\mathrm{3}},\:\frac{\mathrm{4}}{\mathrm{5}},\:\frac{\mathrm{8}}{\mathrm{9}},\:\frac{\mathrm{16}}{\mathrm{17}},\:\frac{\mathrm{32}}{\mathrm{33}},\:… \\ $$ Commented by MJS_new last updated on 14/Nov/21 $${a}_{{n}} =\mathrm{1}−\frac{\mathrm{12}}{{n}^{\mathrm{4}}…

let-give-A-2-2-1-2-find-A-n-and-e-A-and-e-tA-we-remind-that-e-A-A-n-n-

Question Number 27343 by abdo imad last updated on 05/Jan/18 $${let}\:{give}\:{A}=\left(_{\mathrm{2}\:\:\:\:\:\:\:\mathrm{2}} ^{\mathrm{1}\:\:\:\:\:\:\mathrm{2}} \right)\:\:\:{find}\:\:{A}^{{n}} \:\:\:{and}\:\:{e}^{{A}} \\ $$$${and}\:\:{e}^{{tA}} \:\:\:\:\:\:.\:{we}\:{remind}\:{that}\:\:{e}^{{A}} =\:\sum_{} \:\frac{{A}^{{n}} }{{n}!} \\ $$ Commented by Rasheed.Sindhi…