Question: Determine whether each of the following transformations T has an inverse and, if so, determine the action of T-1. (a) T: R4 R4; T(x, y,

Determine whether each of the following transformations T has an inverse and, if so, determine the action of T-1.
(a) T: R4 †’ R4;
T(x, y, z, t) = (x + y, y + z, z + t, t + x)
(b)
a+2e b+2d 3e-a 3d-b M 7-| T: M2

(c) T: P, †’ R3: T(p) = (p(0), p(l), p(-I)]

a+2e b+2d 3e-a 3d-b M 7-| T: M2

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a No inverse For example T11 11 0 0 0 0 so 11 11 is a nonzero vector in ker T Hence T is not onetoon... View full answer

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