Consider the linear transformation T : R 3 → R 3 such that 1 and −1 are the eigenvalues of T, S1 = {(a, b, a) : a, b ∈ R} is the eigenspace associated with the eigenvalue 1, and S−1 = {(a, −a, −a) : a ∈ R} is the eigenspace associated with the eigenvalue −1.a)Write the matrix of T with respect to the base B = {(1, 0, 1),(0, 1, 0),(1, −1, −1)}.b)

Consider the linear transformation T : R 3 → R 3 such that 1 and −1 are the eigenvalues of T, S1 = {(a, b, a) : a, b ∈ R} is the eigenspace associated with the eigenvalue 1, and S−1 = {(a, −a, −a) : a ∈ R} is the eigenspace associated with the eigenvalue −1.a)Write the matrix of T with respect to the base B = {(1, 0, 1),(0, 1, 0),(1, −1, −1)}.b)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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