Let T: P2 R2 be the linear transformation defined by (a) Which, if any, of the following
Question:
(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)
(c) Describe ker(T) and range(T).
Transcribed Image Text:
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 the full answer
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