- #1
Johnathon1
- 2
- 0
S is the set of solutions for the set of three equations...
x + (1 - a)y-1 + 2z + b2w = 0
ax + y - 3z + (a - a2)|w| = a3 - a
x + (a - b)y + z + 2a2w = b
I worked out...
The first equation is a subset of R4 when a = 1, b is any real.
The second equation is a subset of R4 when a = 1 or a = 0.
The third equation is a subset of R4 when b = 0 and a is any real.
Now, I'm trying to work out the values of a and b that make S a subspace of R4.
Isn't S only a subspace for the values of a and b that are common to all three equations?
x + (1 - a)y-1 + 2z + b2w = 0
ax + y - 3z + (a - a2)|w| = a3 - a
x + (a - b)y + z + 2a2w = b
I worked out...
The first equation is a subset of R4 when a = 1, b is any real.
The second equation is a subset of R4 when a = 1 or a = 0.
The third equation is a subset of R4 when b = 0 and a is any real.
Now, I'm trying to work out the values of a and b that make S a subspace of R4.
Isn't S only a subspace for the values of a and b that are common to all three equations?