Exercise C16

\[ C_1 = S \left[\begin{array} {r} 1 \\ 0 \\ 0 \\ \end{array}\right] = \left[\begin{array} {r} 3 \\ 1 \\ 1 \\ 2 \\ \end{array}\right] \] \[ C_2 = S \left[\begin{array} {r} 0 \\ 1 \\ 0 \\ \end{array}\right] = \left[\begin{array} {r} 2 \\ 1 \\ -3 \\ 3 \\ \end{array}\right] \]

\[ C_3 = S \left[\begin{array} {r} 0 \\ 0 \\ 1 \\ \end{array}\right] = \left[\begin{array} {r} 1 \\ 1 \\ 0 \\ 1 \\ \end{array}\right] \]

\[ [C_1C_2C_3]= \left[\begin{array} {r} 3\enspace\enspace 2\enspace\enspace 1\\ 1\enspace\enspace1\enspace\enspace1 \\ 1\enspace\enspace-3\enspace\enspace0 \\ 2\enspace\enspace3\enspace\enspace1\\ \end{array}\right] \]