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(Solved): 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) ( ...



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))=
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