Question Number 124069 by zarminaawan last updated on 30/Nov/20
$${let}\:{us}\:{S}=\left\{{v}_{\mathrm{1}} ,{v}_{\mathrm{2}} ,{v}_{\mathrm{3},} {v}_{\mathrm{4}} \right\}\:{be}\:{the}\:{vector}\:{of}\:{R}^{\mathrm{3}} ?{where} \\ $$$${v}_{\mathrm{1}} =\begin{bmatrix}{\mathrm{1}}\\{−\mathrm{2}}\\{\mathrm{1}}\end{bmatrix},\:{v}_{\mathrm{2}} =\begin{bmatrix}{\mathrm{2}}\\{−\mathrm{3}}\\{−\mathrm{5}}\end{bmatrix},\:{v}_{\mathrm{3}} =\begin{bmatrix}{\mathrm{3}}\\{−\mathrm{1}}\\{\mathrm{1}}\end{bmatrix},\:{v}_{\mathrm{4}} =\begin{bmatrix}{−\mathrm{0}}\\{\mathrm{4}}\\{\mathrm{3}}\end{bmatrix} \\ $$$${Determine}\:{whether}\:{the}\:{set}\:{S}\:{spans}\:{R}^{\mathrm{3}} \\ $$
Commented by danishnaveed last updated on 30/Nov/20
$${send}\:{ans} \\ $$$$ \\ $$
Commented by zarminaawan last updated on 01/Dec/20
$${i}\:{dont}\:{have}\:{answer} \\ $$