Question-3

Convert the following system of equations into matrix-vector form:

\[ \begin{aligned} 7x_{1}+10x_{2}+12x_{3} & =36\\ 8x_{1}+4x_{2}-9x_{3} & =11\\ 4x_{1}-x_{2}+3x_{3} & =10 \end{aligned} \]

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This can be represented as the system \(Ax=b\), where:

\[ A=\begin{bmatrix}7 & 10 & 12\\ 8 & 4 & -9\\ 4 & -1 & 3 \end{bmatrix},\,\,\,,x=\begin{bmatrix}x_{1}\\ x_{2}\\ x_{3} \end{bmatrix},\,\,\,b=\begin{bmatrix}36\\ 11\\ 10 \end{bmatrix} \]