18: Consider the two linear maps T, and T2 on V, defined as T(X, X, x) = (0, xz x) and T,(x , x, x) = (x , 0, 0) Then (a) T, is idempotent but T, is not idempotent. (b) T, is idempotent but T, is not idempotent (c) Both T, and T, are idempotent (d) Neither T, nor T, are idempotent %3D 2

18: Consider the two linear maps T, and T2 on V, defined as T(X, X, x) = (0, xz x) and T,(x , x, x) = (x , 0, 0) Then (a) T, is idempotent but T, is not idempotent. (b) T, is idempotent but T, is not idempotent (c) Both T, and T, are idempotent (d) Neither T, nor T, are idempotent %3D 2

Name: r3 18: Consider the two linear maps T, and 120V, defined asT,( p. X, X
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Description: r3 18: Consider the two linear maps T, and 120V, defined asT,( p. X, X) = (0, xz X)and T,(x , x, x) = (x , 0, 0)Then(a) T, is idempotent but T, is not idempotent.(b) T, is idempotent but T, is not idempotent(c) Both T, and T, are idempotent(d) Neithe

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 3E: 3. For each of the following mappings, write out and for the given and, where.

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