Let a, z, r, x, w, b, y, c E R. If the eigenvalues of the matrix of b, y and care: b= type your answer... , y= type your answer... 1 + a -i +1 i-2 i +1 Z -3i - 1 -2-i 3i - 1 -1 C= type your answer... are given byr + a +ib, x+z+iy and w+ ic. The values

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 31EQ
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Question
1+a
i+1
-2 – i
Let a, z, r, x, w, b, y, c E R. If the eigenvalues of the matrix -i+1
i - 2
Зі — 1
are given by r +a+ ib, x + z + iy and w + ic. The values
z
—Зі — 1
-1
of b, y and c are:
b=
type your answer..
y=
type your answer.
C=
type your answer.
Transcribed Image Text:1+a i+1 -2 – i Let a, z, r, x, w, b, y, c E R. If the eigenvalues of the matrix -i+1 i - 2 Зі — 1 are given by r +a+ ib, x + z + iy and w + ic. The values z —Зі — 1 -1 of b, y and c are: b= type your answer.. y= type your answer. C= type your answer.
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