Dickson Hammond
04/13/2023 · Primary School
Consider the system \( A \mathbf{x}=\mathbf{b} \) where \( A=\left[\begin{array}{cc}4 & 8 \\ 12 & 24\end{array}\right] \) and \( \mathbf{b}=\left[\begin{array}{c}8 \\ -1\end{array}\right] \). \( A \) basis for the null space of \( A \) is given by \( \left\{\left[\begin{array}{c}-2 \\ 1\end{array}\right]\right\} \) and \( \mathbf{x}=\left[\begin{array}{l}2 \\ 0\end{array}\right] \) is a particular solution. Use this information to find the row space solution \( \mathbf{x}_{r} \) to \( A \mathbf{x}=\mathbf{b} \). \( \mathbf{x}_{r}=[ \) Ex: 1.2 \( ] \)
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\[
\mathbf{x}_{r} = [2, 0]
\]
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