Ensino Superior ⇒ Demostração matriz

[magben]

Dado que
[tex3]\begin{pmatrix}
i^{'} \\
j^{'} \\
k^{'}\\
\end{pmatrix}=\begin{pmatrix}
\alpha _{1} &\alpha _{2} & \alpha _{3} \\
\beta _{1} &\beta _{2} & \beta _{3} \\
\gamma _{1} &\gamma _{2} &\gamma _{3} \\
\end{pmatrix}\cdot \begin{pmatrix}
i^{\wedge } \\
j^{\wedge } \\
k^{\wedge } \\
\end{pmatrix} [/tex3]
mostre que
[tex3]\begin{pmatrix}
i^{\wedge } \\
j^{\wedge } \\
k^{\wedge } \\
\end{pmatrix}\cdot \begin{pmatrix}
\alpha _{1} &\beta _{1} & \gamma _{1} \\
\alpha _{2} &\beta _{2} & \gamma _{2} \\
\alpha _{3} &\beta _{3} & \gamma _{3} \\
\end{pmatrix}\cdot \begin{pmatrix}
i^{'} \\
j^{'} \\
k^{'} \\
\end{pmatrix} [/tex3]