Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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4. Suppose A € Mn,n (R) and A³ = A. Show that the the only possible eigenvalues of A are λ = 0, λ = 1, and λ = −1.
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Transcribed Image Text:4. Suppose A € Mn,n (R) and A³ = A. Show that the the only possible eigenvalues of A are λ = 0, λ = 1, and λ = −1.
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