Answered: 3. Given C = 311 131 1 13 a.) Find an…

3. Given C = 311 131 1 13 a.) Find an orthogonal matrix P that diagonalizes C (i.e, P-¹CP is diagonal, and P-¹ = pt) b.) Find C10

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 32CM: Prove that if A is similar to B and A is diagonalizable, then B is diagonalizable.

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Question

3. Given
C =
3 1 1
1
3
13
1 1
a.)
Find an orthogonal matrix P that diagonalizes C (i.e, P-¹CP is diagonal, and
P-¹ = pt)
b.)
Find C10

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