Question

Find the nullity of T
T: P_3 ->P_1, rank(T)=2

Answer 1

Is the nullity 2?

Answer 2

poly3 to poly1 is what that means up there right?

Answer 3

rank = colA; which is the ...oppostie? of nullA

Answer 4

and of course polynomials have a n-1 caveat in there someplace

Answer 5

right

Answer 6

wow thanks for coming i posted this a while back

Answer 7

so the nullity is 2?

Answer 8

p3 basis: [1,x,x^2,x^3]
p1 basis: [1,x]

T(p3) = A p3

A p3 = p1

a b c d 1 = 1
e f g h x x
x2
x3

if rankT is 2, nullT is 2 if i see this right; any way to check it?

Answer 9

nope. I know what to do but like its polynomials so the only confusing part

Answer 10

yeah, polys tend to be a strange creature with vector spaces ....

Answer 11

yes it si correct it must be