Use induction on n to show that η k=1 k4 = 15 5 η + 1 η* + 2 1 3 3 1 ·η. 30

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 21EQ
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(3) Use induction on n to show that
η
1
1
4
5
k4
4
Στη
η + η* +
Σ
k=1
1
∙n
3
-
1
-η.
30
Transcribed Image Text:(3) Use induction on n to show that η 1 1 4 5 k4 4 Στη η + η* + Σ k=1 1 ∙n 3 - 1 -η. 30
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