Let T: P3 ->> P3 be the linear transformation defined by T(at³ +bt² + ct + d) = (a - b)t³ + (c- d)t. Then, justify your
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Let T: P3 ->> P3 be the linear transformation defined by T(at³ +bt² + ct + d) = (a - b)t³ + (c- d)t. Then, justify your
Let T: P3 ->> P3 be the linear transformation defined by T(at³ +bt² + ct + d) = (a - b)t³ + (c- d)t. Then, justify your answers: (i) Is T invertible? (ii) Is t³-t²+t-1 in ker T? 10 (iii) Is 3t³+ t in range T? (iv) Find a basis of ker T. (v) Find a basis of range T.
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