aT: R2z] → M2x2 (R) is given by T(a + bx + cx?) =b b+c-aWhich statement about T is correct?O Tis onto but not one-to-oneTis neither one-to-one nor ontoTis one-to-one but not ontoO Tis an isomorphism

Given transformation is linear transformation, T:ℝ2x→M2×2ℝ s.t Ta+bx+cx2=acbb+c-a. Let,…

a T: Raz]M2x2(R) is given by T(a+ bx + ca?) = (, %3D b b+c-a, Which statement about Tis correct? O Tis onto but not one-to-one O Tis neither one-to-one nor onto O Tis one-to-one but not onto O Tis an isomorphism

a T: Raz]M2x2(R) is given by T(a+ bx + ca?) = (, %3D b b+c-a, Which statement about Tis correct? O Tis onto but not one-to-one O Tis neither one-to-one nor onto O Tis one-to-one but not onto O Tis an isomorphism

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 10E: For each of the following parts, give an example of a mapping from E to E that satisfies the given...

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Question

a
T: R2z] → M2x2 (R) is given by T(a + bx + cx?) =
b b+c-a
Which statement about T is correct?
O Tis onto but not one-to-one
Tis neither one-to-one nor onto
Tis one-to-one but not onto
O Tis an isomorphism

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