Linear mapping/To finite-dimensional/Representation with linear forms/Example/2/Exercise

Describe the linear mapping

$\varphi \colon K^{4}\longrightarrow K^{3},$

given by the matrix

${\begin{pmatrix}3&6&4&5\\5&2&1&3\\8&1&2&7\end{pmatrix}},$

in the sense of fact, using the standard basis and the standard dual basis.

Create a solution