I have the following Transformation matrix $\displaystyle F=\begin{bmatrix}1&1&1&0 \end{bmatrix}$ then I have to find the Kernel for it.

I do that by solving the equation:

$\displaystyle \begin{bmatrix}1&1&1&0 \end{bmatrix} \cdot \begin{bmatrix}x_1\\x_2\\x_3\\x_4 \end{bmatrix}=0$.

But when I multiplicy these two matrices I get a 1x1 matrix.

And I know that there ought to be 3 Kernel matrices (from Maple )?

SO what do I do?