Given
[T]_(B)=[[2,4,0],[0,6,3],[1,2,3]]
use the next parts to find
T(a_(0)+a_(1)t+a_(2)t^(2))
. (a) (1 point) Compute
T(1)
.
T(1)=
(b) (1 point) Compute
T(t)
.
T(t)=
(c) (1 point) Compute
T(t^(2))
.
T(t^(2))=
(d) (2 points) Find
T(a_(0)+a_(1)t+a_(2)t^(2))
using the fact that
T
is linear and the results above. WORK:
T(a_(0)+a_(1)t+a_(2)t^(2))=