Dear All
Can you please show me how the following lemma can be used to solve GRE math questions?
- dim E = dim f(E) + dim (E ∩ ker(f))
kernel?
Re: kernel?
For example, the theorem tells you that the system of equations
x + y + z = 1
2x - y + 3 z = 4
x - 2y + 2z = 3
has a one-parameter family of solutions while the system
x + y + z = 1
2x - y + 3 z = 4
x - 3y + 2z = 3
has a unique solution.
x + y + z = 1
2x - y + 3 z = 4
x - 2y + 2z = 3
has a one-parameter family of solutions while the system
x + y + z = 1
2x - y + 3 z = 4
x - 3y + 2z = 3
has a unique solution.