Question: Determine whether the linear transformation T is (a) one-to-one and (b) onto. T : P 2 M 22 defined by a + 2c a +

Determine whether the linear transformation T is (a) one-to-one and (b) onto.

T : P2 †’ M22 defined by a + 2c a + b T(a + bx + cx²) = 2a + c

a + 2c a + b T(a + bx + cx) = 2a + c

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a Yes T is onetoone If then b c 0 so that b c Substituting we see that a b a c a ... View full answer

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