(Linear Algebra)5.Pls help with Pthanks Find the matrix A of the quadratic form associated with the equation.27x2 - 72xy + 48y² – 80x – 80y + 80 = 027|-36-3648Find the eigenvalues of A. (Enter your answers as a comma-separated list.)0,75Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)[4,13,1P =

We have to Find the matrix A of the quadratic form associated with the equation. 27x^2-72xy +48y^2 -…

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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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(Linear Algebra)

Pls help with P

thanks

Find the matrix A of the quadratic form associated with the equation.
27x2 - 72xy + 48y² – 80x – 80y + 80 = 0
27
|-36
-36
48
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
0,75
Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
[
4
,1
3
,1
P =

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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