Write the system first as a vector equation and then as a matrix equation. 5 x 1 plus x 2 minus 3 x 3 equals 7 2 x 2 plus 9 x 3 equals 0 Write the system as a vector equation. Select the correct choice below​ and, if​ necessary, fill in any answer boxes to complete your choic

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Answer:

Step-by-step explanation:

The system of equations in vector form is

[tex]5x_1 + x_2 - 3x_3 = 0 \\72x_2 + 9x_3 = 0[/tex]

And can be written in matrix form as

[tex]\left[\begin{array}{ccc}5&1&-3\\0&72&9\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right] = \left[\begin{array}{c}0&0&0\end{array}\right][/tex]

With three unknowns in two equations, the system has infinitely many solutions.