- #1
brad sue
- 281
- 0
Hi please can you help me in checking my work?
Find a basis for the following space of each of the following and specify its dimension.
2x1+x2-x3+x4=0
x2+x3-x4=0
x2+x4=0
I found in solving the system that x4 can be an arbitrary and I let x4=t
The solution is:
x1=t
x2=-t
x3=2t
x4=t
The dimension is one.
But I am confused about this one:
Find a basis for the following space of each of the following and specify its dimension
2x1+x2-x3+x4=0
Thank you for your help
B.
Find a basis for the following space of each of the following and specify its dimension.
2x1+x2-x3+x4=0
x2+x3-x4=0
x2+x4=0
I found in solving the system that x4 can be an arbitrary and I let x4=t
The solution is:
x1=t
x2=-t
x3=2t
x4=t
The dimension is one.
But I am confused about this one:
Find a basis for the following space of each of the following and specify its dimension
2x1+x2-x3+x4=0
Thank you for your help
B.