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Let: A = 3 0 -648 3-4 -8 Find S, D and S-1 such that A SDS, 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. We'll now find the matrix that Webwork desires. Notice that we can multiply any ROW of T-¹ by cat the same time and still have a solution to the problem. Find the solution such that the first ROW of S has the entries 0, 0, 1. S = ". 2. 2. 2. D = 2. 2. 2. S-1=

Let: A = 3 0 -648 3-4 -8 Find S, D and S-1 such that A SDS, 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. We'll now find the matrix that Webwork desires. Notice that we can multiply any ROW of T-¹ by cat the same time and still have a solution to the problem. Find the solution such that the first ROW of S has the entries 0, 0, 1. S = ". 2. 2. 2. D = 2. 2. 2. S-1=

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let: A = 3 0 -648 3-4 -8 Find S, D and S-1 such that A SDS, 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. We'll now find the matrix that Webwork desires. Notice that we can multiply any ROW of T-¹ by cat the same time and still have a solution to the problem. Find the solution such that the first ROW of S has the entries 0, 0, 1. S = ". 2. 2. 2. D = 2. 2. 2. S-1=
Transcribed Image Text:Let: A = 3 0 -648 3-4 -8 Find S, D and S-1 such that A SDS, 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. We'll now find the matrix that Webwork desires. Notice that we can multiply any ROW of T-¹ by cat the same time and still have a solution to the problem. Find the solution such that the first ROW of S has the entries 0, 0, 1. S = ". 2. 2. 2. D = 2. 2. 2. S-1=
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