Hi I have a question regarding solving a system of equations.
Solve the system of equations such as this:
[1, 1, 7, -7]
[2, 3, 17, 11]
[1, 2, (a^2+1), 6a]
And find the value of A which makes the system has no solutions, non- trivial and only trivial solutions.
So I use gaussian elimination to get the matrix
[1, 1, 7, -7]
[0, 1, 3, 25]
[0, 0, 1, (6/(a+3))]
How exactly do I got about it? I Figured a cannot be 3 due to dividing by zero therefore the value which makes the system have no solutions, but how do I find the non-trivial and trivial values?