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Consider the quadratic form Q(x₁, T2, T3) = x²-x²+4x²+₁₂-3₁x3 +5x273. Find all matrices A € M3,3(R) such that Q(x) =< x, Ax>, X = (11, 12, 13).

Consider the quadratic form Q(x₁, T2, T3) = x²-x²+4x²+₁₂-3₁x3 +5x273. Find all matrices A € M3,3(R) such that Q(x) =< x, Ax>, X = (11, 12, 13).

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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4. Consider the quadratic form Q(x1, T2, T3)=x²-x²+4x²+x₁x₂-3x1x3+5x23. Find all matrices A € M3,3(R) such that Q(x) =< x, Ax>, x = (₁, 12, 13).
Transcribed Image Text:4. Consider the quadratic form Q(x1, T2, T3)=x²-x²+4x²+x₁x₂-3x1x3+5x23. Find all matrices A € M3,3(R) such that Q(x) =< x, Ax>, x = (₁, 12, 13).
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