H5. Consider the matrix 0 c-[98] C= -1 0 First, show that C² = -I and use this relationship to conclude that C³-C, C² = 1, and C5 = C. From these equalities, give explicit expressions for C2n and C²n+1.
H5. Consider the matrix 0 c-[98] C= -1 0 First, show that C² = -I and use this relationship to conclude that C³-C, C² = 1, and C5 = C. From these equalities, give explicit expressions for C2n and C²n+1.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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