1 -1 0 0 | 0
0 0 1 0 | 0
0 0 0 1 | 0
0 0 0 0 | 0
How do I find the general solution with parameters from this RREF matrix? (it's a Homogeneous system, the right-hand side is zero!)
2026-03-29 13:47:08.1774792028
RREF matrix - general solution?
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Don't calculate, just paint the solution. Expand the matrix $$\begin{pmatrix}1&-1&0&0\\ 0&0&1&0\\ 0&0&0&1 \end{pmatrix}$$ to $$\begin{pmatrix}1&-1&0&0\\ 0&-1&0&0&\\ 0&0&1&0\\ 0&0&0&1 \end{pmatrix}$$ hence the kernel is the span of $\begin{pmatrix}-1\\ -1\\ 0\\ 0\end{pmatrix}$.