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.

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Chapter7: Eigenvalues And Eigenvectors
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H5. Consider the matrix
c = [ 9 ]
0 1
-1 0
First, show that C² = -I and use this relationship to conclude that C³ = -C, C4 = 1,
and C5 = C. From these equalities, give explicit expressions for C2n and C²n+1.
Transcribed Image Text:H5. Consider the matrix c = [ 9 ] 0 1 -1 0 First, show that C² = -I and use this relationship to conclude that C³ = -C, C4 = 1, and C5 = C. From these equalities, give explicit expressions for C2n and C²n+1.
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