Description
Exercises on diagonalization and powers of A
Problem 22.1: (6.2 #6. Introduction to Linear Algebra: Strang) Describe all
matrices S that diagonalize this matrix A (find all eigenvectors):
4 0 A = . 1 2
Then describe all matrices that diagonalize A−1.
Problem 22.2: (6.2 #16.) Find Λ and S to diagonalize A :
.6 .9 A = . .4 .1
What is the limit of Λk as k ∞? What is the limit matrix of SΛkS−1 → ? In
the columns of this matrix you see the .
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18.06SC Linear Algebra
