Hi
Can someone kindly help me out with this and check
I am trying to solve the system of equations below in matrix form.
A matrix is follows:
After making reduced row echelon form operations on it I have:
I have found that X_{1, }X_{3} and X_{5} are lead variables and that X_{2 }and X_{4 }are free variables:
If I let X_{2 }= s and X_{4 }=t. Then:
X_{5}= -2
X_{1}= 2-2s+t
X_{3}= -1-2s
Is this correct and is this how the answer should be presented?
Also, how can I find the basis for the U of ^{4} from the matrix above?
Is this dimension of the U 3? and what is the dimension of U^{ img.top {vertical-align:15%;} }?
I would appreciate any help