CSIR NET MATHEMATICS | Linear Algebra | Properties of Eigenvalues of a matrix DEC 2011

CSIR NET MATHEMATICS | Linear Algebra | Properties of Eigenvalues of a matrix DEC 2011
Linear Algebra, Properties of Eigenvalues of a matrix,
Example (marks 3)

Let A be a 3x3 matrix with real entries such that det(A)=6 and the trace of A is 0. If det(A+I)=0, where I denotes the 33 identity matrix, then the eigenvalues of A are

(1) -1, 2, 3

(2) -1, 2, - 3

(3) 1, 2, - 3

(4) -1, - 2, 3

CSIR NET Answer Key December 2011,

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