A) infinite number of solutions
B) unique solution
C) trivial solution
D) no solution
E) multiple solutions
Correct Answer: D
Solution :
Given system of equations are \[x+4y-2z=3\] \[3x+y+5z=7\] \[2x+3y+z=5\] \[\therefore \] \[\Delta =\left| \begin{matrix} 1 & 4 & -2 \\ 3 & 1 & 5 \\ 2 & 3 & 1 \\ \end{matrix} \right|\] \[=1(1-15)-4(3-10)-2(9-2)\] \[=-14+28-14=0\] Since,\[\Delta =0\]and\[{{\Delta }_{2}}\ne 0\] \[\therefore \] No solution will exist.You need to login to perform this action.
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