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Posted: **Wed May 04, 2022 10:15 am**

: Let T P3 P3 Be The Linear Transformation Defined By T At Bt Ct D A B T C D T Then Justify Your 1 (20.46 KiB) Viewed 22 times

: Let T P3 P3 Be The Linear Transformation Defined By T At Bt Ct D A B T C D T Then Justify Your 2 (20.46 KiB) Viewed 22 times

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.