Part A: Make a change of variable, x = Py. Give P and the new quadratic form. 2 2 Q(x) = 4x + 7x2 + 4x1x2 Part B: Find the Cholesky factorization = A-[-+-+1]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Hello. Please answer the attached Linear Algebra question and its 2 parts correctly & completely. Please show all of your work for each part. 

*If you answer the question and its 2 parts correctly & show all of your work, I will give you a thumbs up. Thanks.  

Part A:
Make a change of variable, x = Py.
Give P and the new quadratic form.
2
Q(x) = 4x ²₁ +7x²2 + 4x1x2
1
Part B:
Find the Cholesky factorization
-1
=
-[44]
-1
A
* Please Show All Of Your Work
For Both Parts. Thanks.
Transcribed Image Text:Part A: Make a change of variable, x = Py. Give P and the new quadratic form. 2 Q(x) = 4x ²₁ +7x²2 + 4x1x2 1 Part B: Find the Cholesky factorization -1 = -[44] -1 A * Please Show All Of Your Work For Both Parts. Thanks.
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