Thread: matrix vector subspace View Single Post
 P: 909 By doing row reduction to the 1-nd matrix $$\begin{bmatrix} 2 & 3 & -1 & 1\\ 1 & 1 & 0 & -2\\ 1 & 2 & -1 & 3 \end{bmatrix}$$ I get: $$\begin{bmatrix} 0 & 1 & -1 & 5\\ 1 & 1 & 0 & -2\\ 0 & 0 & 0 & 0 \end{bmatrix}$$ and I have the 2-nd matrix. $$\begin{bmatrix} 0 & 1 & -1 & 5\\ 4 & 5 & -1 & -3 \end{bmatrix}$$ If I make $-5*R_1+R_2$ I will get $$\begin{bmatrix} 0 & 1 & -1 & 5\\ 4 & 0 & 4 & -27 \end{bmatrix}$$ And if I make $-R_1+R_2$ and after that dividing $R_2$ by 2, I will get: $$\begin{bmatrix} 0 & 1 & -1 & 5\\ 1 & 1 & 0 & -2 \end{bmatrix}$$ Do you understand me what I am talking about?