Question: 5.[9pts] Consider the linear system of equations: $$ left{begin{array}{c} X+z=a y+z=b d z=C end{array} ight. $$ (a) Choose numbers for $a, b, c$, and

$5.[9pts] Consider the linear system of equations: $$ \left\{\begin{array}{c} X+z=a \$

5.[9pts] Consider the linear system of equations: $$ \left\{\begin{array}{c} X+z=a \ y+z=b d z=C \end{array} ight. $$ (a) Choose numbers for $a, b, c$, and $d$ such that: (i) The system has no solution. (ii) The system has infinitely many solutions. Give the solution set for your values of $a, b, c$, and $0$ in vector form. Is the solution set a point, a line or a plane in $R^{3}$ ? (b) Which of the numbers $a, b, c$, and $d$ have no effect on solvability?CS.SD. 127||

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