2 Q(x) = 4x² + 7x² + 4x1x2

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no cross-product term. Give P and the new quadratic form.
Q(x) = 4x +7x² + 4x1x2
Select one:
O A.
P=1/√5 -2/6:8y+3y2
1/5
O B.
P=
8 +3
O C.
;-8y-3y2
matrix ((-1/square root of (5)-2/square root of (5)) (2/square root of (5) 1/square root of (5)))
O D.
P=
;8y1₁ + 3y2
Transcribed Image Text:Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no cross-product term. Give P and the new quadratic form. Q(x) = 4x +7x² + 4x1x2 Select one: O A. P=1/√5 -2/6:8y+3y2 1/5 O B. P= 8 +3 O C. ;-8y-3y2 matrix ((-1/square root of (5)-2/square root of (5)) (2/square root of (5) 1/square root of (5))) O D. P= ;8y1₁ + 3y2
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