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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. We'll now find the matrix that Webwork desires. Notice that we can multiply any 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 = ". D: " " " " " ". S-1 = "

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. We'll now find the matrix that Webwork desires. Notice that we can multiply any 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 = ". D: " " " " " ". 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 = 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. We'll now find the matrix that Webwork desires. Notice that we can multiply any 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 = ". D: " " " " " ". S-1 = "
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. We'll now find the matrix that Webwork desires. Notice that we can multiply any 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 = ". D: " " " " " ". S-1 = "
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