Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx + ƒ = 0, where xT Ax is the associated quadratic form and K is an appropriate matrix. ? ? A = ? ? K = ( ? ? ) f =

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
Question
Express the quadratic equation
2x2 + 4xy + 7x – 2y + 8 = 0,
%3D
in the matrix form
xT Ax + Kx +f = 0,
%3D
where x" Ax is the associated quadratic form and K is an appropriate
matrix.
?
A =
?
K =( ? ? )
f =
Transcribed Image Text:Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, %3D in the matrix form xT Ax + Kx +f = 0, %3D where x" Ax is the associated quadratic form and K is an appropriate matrix. ? A = ? K =( ? ? ) f =
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