You & maths

Exercise Set 1.1 – No. 8

8. Find the augmented matrix for the linear system:

\large {\color{blue} (a)\; \begin{matrix} 3x_1&-2x_2 & =-1 \\ 4x_1&+5x_2 & =3 \\ 7x_1&+3x_2 & =2 \end{matrix} }

\large {\color{Blue} \begin{bmatrix} 3 & -2 & -1\\ 4 & 5 & 3\\ 7 & 3 & 2 \end{bmatrix} }

\large {\color{blue} (b)\; \begin{matrix} 3x_1& & +2x_3 & =1 \\ 3x_1&-x_2 &+4x_3& =7 \\ 6x_1&+x_2 &-x_3& =0 \end{matrix} }

\large {\color{Blue} \begin{bmatrix} 2 & 0 & 2 & 1\\ 3 & -1 & 4 & 7\\ 6 & 1 & -1 & 0 \end{bmatrix} }

\large {\color{blue} (c)\; \begin{matrix} x_1& & & =1 \\ &x_2 && =2 \\ & &x_3& =3 \end{matrix} }

\large {\color{Blue} \begin{bmatrix} 1 & 0 & 0 & 1\\ 0 & 1 & 0 & 2\\ 0 & 0 & 1 & 3 \end{bmatrix} }