- #1
Takuya
- 4
- 0
Hey guys!
I am having a major brain problem today, with this problem.
L is a linear transform that maps L:P4[tex]\rightarrow[/tex]P4
As such that (a1t3+a2t2+a3t+a4 = (a1-a2)t3+(a3-a4)t.
I am trying to find the basis for the kernel and range.
I know that the standard basis for P4 is {1,x,x2,x3}
And the kernel is when L(u)=0, but I don't know how to find the transformation matrix, since we're not dealing with numbers in R, but in the set of polynomials. Is there another way to find the kernel/range and bases without using the T matrix?
I am having a major brain problem today, with this problem.
L is a linear transform that maps L:P4[tex]\rightarrow[/tex]P4
As such that (a1t3+a2t2+a3t+a4 = (a1-a2)t3+(a3-a4)t.
I am trying to find the basis for the kernel and range.
I know that the standard basis for P4 is {1,x,x2,x3}
And the kernel is when L(u)=0, but I don't know how to find the transformation matrix, since we're not dealing with numbers in R, but in the set of polynomials. Is there another way to find the kernel/range and bases without using the T matrix?