Problem #2: Consider the symmetric matrix 040 M=400 003 Find constants c₁ and c₂ such that the quadratic form q(v) =Mv satisfies for all ER³ with the condition that there exists two vectors ', w 0 such that q(u) = c₁||||², q(w) = c2||w ||². Enter the values of c₁ and c2 (in that order) into the answer box below, separated with a comma.

Problem #2: Consider the symmetric matrix 040 M=400 003 Find constants c₁ and c₂ such that the quadratic form q(v) =Mv satisfies for all ER³ with the condition that there exists two vectors ', w 0 such that q(u) = c₁||||², q(w) = c2||w ||². Enter the values of c₁ and c2 (in that order) into the answer box below, separated with a comma.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 29CM

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