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u-1-1-2-A-3-2-1-3-0-1-v-2-1-uAv-t-




Question Number 11034 by suci last updated on 08/Mar/17
u= [(1,(−1),2) ]  A= [(3,2),(1,3),(0,1) ]  v= [(2,(−1)) ]  uAv^t =....?
$${u}=\begin{bmatrix}{\mathrm{1}}&{−\mathrm{1}}&{\mathrm{2}}\end{bmatrix} \\ $$$${A}=\begin{bmatrix}{\mathrm{3}}&{\mathrm{2}}\\{\mathrm{1}}&{\mathrm{3}}\\{\mathrm{0}}&{\mathrm{1}}\end{bmatrix} \\ $$$${v}=\begin{bmatrix}{\mathrm{2}}&{−\mathrm{1}}\end{bmatrix} \\ $$$${uAv}^{{t}} =….? \\ $$
Commented by bahmanfeshki last updated on 09/Mar/17
(uA)v^t =[2  1] [(2),((−1)) ]=3
$$\left({uA}\right){v}^{{t}} =\left[\mathrm{2}\:\:\mathrm{1}\right]\begin{bmatrix}{\mathrm{2}}\\{−\mathrm{1}}\end{bmatrix}=\mathrm{3} \\ $$

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