5. Consider the following matrix: A = [13] འབ a) Find the eigenvalues of A. b) Find the corresponding eigenvectors. c) Diagonalize A. d) Use the result from part c) to calculate A99 (write your answer as a product of 3 matrices - you do not need to multiply them out).

5. Consider the following matrix: A = [13] འབ a) Find the eigenvalues of A. b) Find the corresponding eigenvectors. c) Diagonalize A. d) Use the result from part c) to calculate A99 (write your answer as a product of 3 matrices - you do not need to multiply them out).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.3: Properties Of Determinants

Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.

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5. Consider the following matrix:
A = [13]
འབ
a) Find the eigenvalues of A.
b) Find the corresponding eigenvectors.
c) Diagonalize A.
d) Use the result from part c) to calculate A99 (write your answer as a product of 3 matrices -
you do not need to multiply them out).

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