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Problem #2: Consider the symmetric matrix Го з M=30 0 0 00-4 Find constants c₁ and c₂ such that the quadratic form (v) = vMv satisfies ² ≤ (v) ≤ 2|||² for all ER³ with the condition that there exists two vectors i, w ō such that g() g(w) = c2||||². a comma. Enter the values of c₁ and c2 (in that order) into the answer box below, separated with a con = C₁||||²,

Problem #2: Consider the symmetric matrix Го з M=30 0 0 00-4 Find constants c₁ and c₂ such that the quadratic form (v) = vMv satisfies ² ≤ (v) ≤ 2|||² for all ER³ with the condition that there exists two vectors i, w ō such that g() g(w) = c2||||². a comma. Enter the values of c₁ and c2 (in that order) into the answer box below, separated with a con = C₁||||²,

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
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Problem #2: Consider the symmetric matrix Го з 0 M = 30 0 0 Find constants c₁ and c₂ such that the quadratic form (v) = vMv satisfies ©₁||v||² ≤ q(v) ≤ ¢2 | |² for all ER³ with the condition that there exists two vectors u, w 0 such that q() = c₁||||², g(w) = c2||W||². Enter the values of c₁ and c2 (in that order) into the answer box below, separated with a comma.
Transcribed Image Text:Problem #2: Consider the symmetric matrix Го з 0 M = 30 0 0 Find constants c₁ and c₂ such that the quadratic form (v) = vMv satisfies ©₁||v||² ≤ q(v) ≤ ¢2 | |² for all ER³ with the condition that there exists two vectors u, w 0 such that q() = c₁||||², g(w) = c2||W||². Enter the values of c₁ and c2 (in that order) into the answer box below, separated with a comma.
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