# Math Help - Kernel matrix

1. ## Kernel matrix

Hello guys
I have a problem I need to solve and I would be grateful if someone could help me:
I have the attached matrix:

Can you help me identify the kernel in it and try to identify some vectors included in K?
Is there also a possibility to show that K is a subspace of R^3?

2. any help pls???

3. Originally Posted by geo2
Hello guys
I have a problem I need to solve and I would be grateful if someone could help me:
I have the attached matrix:

Can you help me identify the kernel in it and try to identify some vectors included in K?
Is there also a possibility to show that K is a subspace of R^3?

$\begin{pmatrix}1&4&9&7\\2&9&15&10\\3&11&30&25\end{ pmatrix}\begin{pmatrix}x_1\\x_2\\x_3\\x_4\end{pmat rix}=\begin{pmatrix}0\\0\\0\end{pmatrix}$.
To solve this, and find $K=kernel$ of the matrix, you have to bring the matrix to echelon form (Gauss or Jordan-Gauss method).