Question Number 124069 by zarminaawan last updated on 30/Nov/20
![let us S={v_1 ,v_2 ,v_(3,) v_4 } be the vector of R^3 ?where v_1 = [(1),((−2)),(1) ], v_2 = [(2),((−3)),((−5)) ], v_3 = [(3),((−1)),(1) ], v_4 = [((−0)),(4),(3) ] Determine whether the set S spans R^3](Q124069.png)
$${let}\:{us}\:{S}=\left\{{v}_{\mathrm{1}} ,{v}_{\mathrm{2}} ,{v}_{\mathrm{3},} {v}_{\mathrm{4}} \right\}\:{be}\:{the}\:{vector}\:{of}\:{R}^{\mathrm{3}} ?{where} \\ $$$${v}_{\mathrm{1}} =\begin{bmatrix}{\mathrm{1}}\\{−\mathrm{2}}\\{\mathrm{1}}\end{bmatrix},\:{v}_{\mathrm{2}} =\begin{bmatrix}{\mathrm{2}}\\{−\mathrm{3}}\\{−\mathrm{5}}\end{bmatrix},\:{v}_{\mathrm{3}} =\begin{bmatrix}{\mathrm{3}}\\{−\mathrm{1}}\\{\mathrm{1}}\end{bmatrix},\:{v}_{\mathrm{4}} =\begin{bmatrix}{−\mathrm{0}}\\{\mathrm{4}}\\{\mathrm{3}}\end{bmatrix} \\ $$$${Determine}\:{whether}\:{the}\:{set}\:{S}\:{spans}\:{R}^{\mathrm{3}} \\ $$
Commented by danishnaveed last updated on 30/Nov/20
$${send}\:{ans} \\ $$$$ \\ $$
Commented by zarminaawan last updated on 01/Dec/20
$${i}\:{dont}\:{have}\:{answer} \\ $$