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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=

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
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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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