P1.1.

Pryklad\ 3.\ A\overrightarrow{x}= \overrightarrow{0} \\

\\

\begin{pmatrix} 1 & 1 & 1\\ 1 & 1 & 1\\ 3 & 3 & 3 \end{pmatrix}

\sim

\begin{pmatrix} 1 & 1 & 1 \\ \end{pmatrix}

\sim

\left\{\begin{matrix} x_1 + x_2 + x_3 = 0 \end{matrix}\right.

\\ dim A = 3, rang A = 1, k = 3 - 1 = 2 - k-st\ vektoriv\ v\ FSR\ OSLR\

FSR\ OSLR:\ \{\overrightarrow{x_1}, \overrightarrow{x_2} \} = \{ ( 1, -1, 0 ), ( 0, 1, -1) \} \\

\overrightarrow{x_{zo}} = \lambda_1 \overrightarrow{x_1} + \lambda_2 \overrightarrow{x_2}