Not sure if this should be in help school or uni so i put it in both
I have a system of equations (am doing vector spaces so i need to find a formula for the linear combination of a set of generators). Im not sure if the vector part is clear or even useful information but I cannot for the life of me solve the system of equations. Ive watched tutorials and its so simple but every time I do it (ive tried different ways, both substitution and elimination) it does not work and is wrong. Is there something that im missing? is there an operation that you can do in 2 variable systems of equations that you cant in 3 variable ones? thanks for your help, heres the question :
u vector (2 ; 1 ; -3), v vector (3 ; 1 ; -5), w vector (1 ; -1 ; 1)
with these we have to solve this system, where X1, X2 and X3 are known numbers
2a + 3b + c = X1
a + 2b - c = X2
- 3a - 5b + c = X3