Linear mapping/Kernel/2 3 0 -1/4 2 2 5/Exercise

Determine the kernel of the linear map

$\varphi \colon \mathbb {R} ^{4}\longrightarrow \mathbb {R} ^{2},$

given by the matrix

${}M={\begin{pmatrix}2&3&0&-1\\4&2&2&5\end{pmatrix}}\,.$

To solution