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Question Number 8650 by tawakalitu last updated on 19/Oct/16
Commented by tawakalitu last updated on 19/Oct/16
$$\mathrm{please}\:\mathrm{reduce}\:\mathrm{to}\:\mathrm{echelon}\:\mathrm{form}. \\ $$
Commented by ridwan balatif last updated on 20/Oct/16
$$\mathrm{if}\:\mathrm{5w}+\mathrm{12x}−\mathrm{7y}+\mathrm{6z}=−\mathrm{7}...\left(\ast\right),\mathrm{then} \\ $$$$\mathrm{2w}+\mathrm{5x}−\mathrm{2y}+\mathrm{z}=\mathrm{1}\rightarrow\mathrm{4w}+\mathrm{10x}−\mathrm{4y}+\mathrm{2z}=\mathrm{2}...\left(\mathrm{1}\right) \\ $$$$\mathrm{w}+\mathrm{2x}−\mathrm{3y}+\mathrm{4z}=\mathrm{2}...\left(\mathrm{2}\right) \\ $$$$\left(\mathrm{1}\right)+\left(\mathrm{2}\right)\rightarrow\mathrm{5w}+\mathrm{12x}−\mathrm{7y}+\mathrm{6z}=\mathrm{4}...\left(\mathrm{3}\right) \\ $$$$\mathrm{now}\:\mathrm{compare}\:\mathrm{third}\:\mathrm{equation}\:\mathrm{with}\:\left(\ast\right) \\ $$$$\mathrm{5w}+\mathrm{12x}−\mathrm{7y}+\mathrm{6z}=−\mathrm{7}...\left(\ast\right) \\ $$$$\mathrm{5w}+\mathrm{12x}−\mathrm{7y}+\mathrm{6z}=\mathrm{4}...\left(\mathrm{3}\right) \\ $$$$...? \\ $$$$\mathrm{BTW},\:\mathrm{i}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mathrm{about}\:\mathrm{eschelon}\:\mathrm{form},\:\mathrm{because}\:\mathrm{i}\:\mathrm{am}\:\mathrm{not}\:\mathrm{study}\:\mathrm{about}\:\mathrm{it} \\ $$$$ \\ $$$$ \\ $$
Commented by tawakalitu last updated on 20/Oct/16
$$\mathrm{Alright}\:\mathrm{thank}\:\mathrm{you}\:\mathrm{sir}. \\ $$