Which of the following is true for the matrix? 2 -1 The eigenvalues of l. A are -1 and 5. II. An eigenvector with an eigenvalue of 1 is {(-1,1,0}}. III. A base of the eigenspace of the eigenvalue 5 is {(-1,-2,1)}. IV. The characteristic polynomial of A is (x-5)(x+1)^2. A = 2 3 -2 -1 -2 0 The minimal polynomial of V. A is (x-5)(x+1) A) 1 B) 2 C) 3 D) 4 E) 5

Which of the following is true for the matrix? 2 -1 The eigenvalues of l. A are -1 and 5. II. An eigenvector with an eigenvalue of 1 is {(-1,1,0}}. III. A base of the eigenspace of the eigenvalue 5 is {(-1,-2,1)}. IV. The characteristic polynomial of A is (x-5)(x+1)^2. A = 2 3 -2 -1 -2 0 The minimal polynomial of V. A is (x-5)(x+1) A) 1 B) 2 C) 3 D) 4 E) 5

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 76E: Define T:P2P2 by T(a0+a1x+a2x2)=(2a0+a1a2)+(a1+2a2)xa2x2. Find the eigenvalues and the eigenvectors...

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