Find bases for the kernel and range of the linear transformations T in the indicated exercises. In
Question:
Exercise 3
Data From Exercise 3
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)
(c) Describe ker(T) and range(T).
Transcribed Image Text:
a - b b+ c. T(a + bx + cx') ск)
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