Let: A 15 10 2 -14 -32 -15 12 Find S, D and S-1 such that A = SDS-¹. Starting with the first row, put the eigenvalues from smallest to greatest. The solution for S is not unique. Suppose you've found some matrix T such that A = TDT-1. ROW of T-¹ by c at the same time and still have a solution to the problem. Find the solution such that the first ROW of S has the entries -1, 1, 0. S = Notice that we can multiply any 2. 9. 9. 2. 9. 9. 9. D = 9. 9. 2. S-1= 2. ". 2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 38EQ
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Let: A
15 10
2 -14 -32
-15 12
Find S, D and S-1 such that A = SDS-¹. Starting with the first row, put the eigenvalues from smallest to greatest.
The solution for S is not unique. Suppose you've found some matrix T such that A = TDT-1.
ROW of T-¹ by c at the same time and still have a solution to the problem.
Find the solution such that the first ROW of S has the entries -1, 1, 0.
S =
Notice that we can multiply any
2.
9.
9.
2.
9.
9.
9.
D =
9.
9.
2.
S-1=
2.
".
2.
Transcribed Image Text:Let: A 15 10 2 -14 -32 -15 12 Find S, D and S-1 such that A = SDS-¹. Starting with the first row, put the eigenvalues from smallest to greatest. The solution for S is not unique. Suppose you've found some matrix T such that A = TDT-1. ROW of T-¹ by c at the same time and still have a solution to the problem. Find the solution such that the first ROW of S has the entries -1, 1, 0. S = Notice that we can multiply any 2. 9. 9. 2. 9. 9. 9. D = 9. 9. 2. S-1= 2. ". 2.
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