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 X1, X3 and X5 are lead variables and that X2 and X4 are free variables:
If I let X2 = s and X4 =t. Then:
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 ?
I would appreciate any help