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A factorization A = PDP is not unique. For A= 62 -40 1 1 40 one factorization is P = D= and P-1= 2 1 20 Use this information with D₁ = to find a matrix P₁ such that A = P₁D₁P₁₁ -1 -2 0 2 -1 -1 0 4 P₁ = (Type an integer or simplified fraction for each matrix element.)

A factorization A = PDP is not unique. For A= 62 -40 1 1 40 one factorization is P = D= and P-1= 2 1 20 Use this information with D₁ = to find a matrix P₁ such that A = P₁D₁P₁₁ -1 -2 0 2 -1 -1 0 4 P₁ = (Type an integer or simplified fraction for each matrix element.)

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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A factorization A = PDP is not unique. For A= 62 -40 1 1 40 one factorization is P = D= and P-1= 2 1 20 Use this information with D₁ = to find a matrix P₁ such that A = P₁D₁P₁₁ -1 -2 0 2 -1 -1 0 4 P₁ = (Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:A factorization A = PDP is not unique. For A= 62 -40 1 1 40 one factorization is P = D= and P-1= 2 1 20 Use this information with D₁ = to find a matrix P₁ such that A = P₁D₁P₁₁ -1 -2 0 2 -1 -1 0 4 P₁ = (Type an integer or simplified fraction for each matrix element.)
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