Originally Posted by

**asingh88** Consider the following set of linear equations

-x + y +2z = 2

x + 0y +az = -1

ax + 3y + 10z = 7

where (a = alpha)

for which value of the parameter a will the system have:

i) exactly 1 solution

ii) Many solutions

iii) No solutions

iv) Find solution space for the case when there are many solutions

ive reduced the matrix to

|1 -1 -2 | -2|

|0 0 2a-(a^2) |2a-(a^2)|

|0 -3 10 |7|

and i get x1=x2=x3= 1

can anyone check if this is right as the inclusion of alpha in this question has complicated the answer