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a. Select all the statements below that describe eigenvectors for the linear transformation T. There may be more than correct answer. A. B. e1- C. 30e2 0 D. any nonzero vector parallel to the line y = x ☐ ☐ ☐ ☑ E. 0 450 பட் ☐ G. 0 H. any nonzero vector parallel to the x-axis ☐ I. any nonzero vector parallel to the line y = -x ✓ J. any nonzero vector parallel to the line x = 0

a. Select all the statements below that describe eigenvectors for the linear transformation T. There may be more than correct answer. A. B. e1- C. 30e2 0 D. any nonzero vector parallel to the line y = x ☐ ☐ ☐ ☑ E. 0 450 பட் ☐ G. 0 H. any nonzero vector parallel to the x-axis ☐ I. any nonzero vector parallel to the line y = -x ✓ J. any nonzero vector parallel to the line x = 0

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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Question
Suppose T: R² → R2 is the linear transformation defined in the figure below. The figure shows where T maps 8 vectors V₁,..., vg from the domain. With this limited information about T, what properties of T can be determined? У У -1 -2 -3 -4 v6 8 7 6 5 v4 4 3 2 1 v5 * v1 v3 v2 8 7 6 5 4 3 21 T(v2) T(v3) T(v4) T * T(v1) -1 -2 T(v8) T(v7) T(v6) -3 T(v5) x v7 v8 -5 -5 -6 -6 -7 -7 -8 -8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 domain codomain
Transcribed Image Text:Suppose T: R² → R2 is the linear transformation defined in the figure below. The figure shows where T maps 8 vectors V₁,..., vg from the domain. With this limited information about T, what properties of T can be determined? У У -1 -2 -3 -4 v6 8 7 6 5 v4 4 3 2 1 v5 * v1 v3 v2 8 7 6 5 4 3 21 T(v2) T(v3) T(v4) T * T(v1) -1 -2 T(v8) T(v7) T(v6) -3 T(v5) x v7 v8 -5 -5 -6 -6 -7 -7 -8 -8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 domain codomain
a. Select all the statements below that describe eigenvectors for the linear transformation T. There may be more than o correct answer. A. B. e1 C. 30€2 [4.5 D. any nonzero vector parallel to the line y = x E. F. 450 G. 0 H H. any nonzero vector parallel to the x-axis II. any nonzero vector parallel to the line y = -x J. any nonzero vector parallel to the line x = 0
Transcribed Image Text:a. Select all the statements below that describe eigenvectors for the linear transformation T. There may be more than o correct answer. A. B. e1 C. 30€2 [4.5 D. any nonzero vector parallel to the line y = x E. F. 450 G. 0 H H. any nonzero vector parallel to the x-axis II. any nonzero vector parallel to the line y = -x J. any nonzero vector parallel to the line x = 0
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