Consider the system of linear equations−x+y+2z=03x−ay+5z=12x−2y−az=7Let S1 be the set of all a∈R for which system is inconsistent and S2 be the set of all a∈R for which the system has infinitely many solutions. If n(S1) and n(S2) denote the number of elements in S1 and S2 respectively, then

Consider the system of linear equations−x+y+2z=03x−ay+5z=12x−2y�

1.	Consider the system of linear equations−x+y+2z=03x−ay+5z=12x−2y−az=7Let S1 be the set of all a∈R for which system is inconsistent and S2 be the set of all a∈R for which the system has infinitely many solutions. If n(S1) and n(S2) denote the number of elements in S1 and S2 respectively, then
Answer» Consider the system of linear equations $- x + y + 2 z = 0$ $3 x - a y + 5 z = 1$ $2 x - 2 y - a z = 7$ Let $S_{1}$ be the set of all $a \in R$ for which system is inconsistent and $S_{2}$ be the set of all $a \in R$ for which the system has infinitely many solutions. If $n (S_{1})$ and $n (S_{2})$ denote the number of elements in $S_{1}$ and $S_{2}$ respectively, then