# Kernel matrix

• December 3rd 2009, 01:31 PM
geo2
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:
http://www.mathhelpforum.com/math-he...1&d=1259879316

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?

• December 7th 2009, 05:09 AM
geo2
any help pls???
• December 7th 2009, 06:01 AM
tonio
Quote:

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:
http://www.mathhelpforum.com/math-he...1&d=1259879316

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).