Let the trace and determinant of a 2 x 2 square matrix A be Tr (A) = –1 and det (A) = -2 respec- tively. Which of the following are the eigenvalues of the matrix A? (a) A1 = 2, A2= -1 (b) A1 = -3, 12 = 3 (c) A1 = -6, A2 = 3 (d) A1 = 2, A2 = 3 ( e) λι2 λ1

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 64CR: a Find a symmetric matrix B such that B2=A for A=[2112] b Generalize the result of part a by proving...
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Let the trace and determinant of a 2 x 2 square matrix A be Tr (A) = –1 and det (A) = -2 respec-
tively. Which of the following are the eigenvalues of the matrix A ?
(a) A1 = 2, A2 = -1
(b) λ-3, λ3
%3D
(c) A1 = -6, A2 = 3
( d) λι-2 λ3
( e) λ-2, λ1
Transcribed Image Text:Let the trace and determinant of a 2 x 2 square matrix A be Tr (A) = –1 and det (A) = -2 respec- tively. Which of the following are the eigenvalues of the matrix A ? (a) A1 = 2, A2 = -1 (b) λ-3, λ3 %3D (c) A1 = -6, A2 = 3 ( d) λι-2 λ3 ( e) λ-2, λ1
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