2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the form f(x) XTQX with the matrix [1 2 3 [1 1 3] A: Q = 2 2 31 5 6 C: Q=2 5 2.5 B: Q=4 3 D: Non of these 13 3 1. 16 A О в O C O D 2 2.5 142 334 5 4

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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Question
2:
The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the
form f(x)= XTQX with the matrix
[1
2 3
[1
3]
A: Q = 2
2 31
5 6
C: Q=2
2.5 B: Q=4
3
D: Non of these
13
3 1.
A
О в
O
O D
2
2.5
142
155
334
16 5 4
Transcribed Image Text:2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the form f(x)= XTQX with the matrix [1 2 3 [1 3] A: Q = 2 2 31 5 6 C: Q=2 2.5 B: Q=4 3 D: Non of these 13 3 1. A О в O O D 2 2.5 142 155 334 16 5 4
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