Question: Let T: P2 R2 be the linear transformation defined by (a) Which, if any, of the following polynomials are in ker(T)? (i) 1 + x

Let T: P2 †’ R2 be the linear transformation defined by

(a) Which, if any, of the following polynomials are in ker(T)?
(i) 1 + x
(ii) x - x2
(iii) 1 + x - x2
(b) Which, if any, of the following vectors are in range(T)?
(i)

(ii)

(iii)

T(a + bx + cx") = |b+c 01

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a We have i ii iii so only iii is in rangeT b All of them are For example i ii ... View full answer

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