Find the principal axes $y_{1}$ and $y_{2}$ diagonalizing the quadratic form $q = x_{1}^{2} + 8x_{1}x_{2} + x^{2}_{2} $

by Janick C.   Last Updated July 18, 2019 06:20 AM

Find the principal axes $y_{1}$ and $y_{2}$ diagonalizing the quadratic form $q = x_{1}^{2} + 8x_{1}x_{2} + x^{2}_{2} $. Please explain how to find the principle axis.



Answers 1


Hints:

  1. What is the matrix representing the quadratic function? In other words, what is the real symmetric matrix you are working with?

  2. How do you diagonalize it?

Shiyu Liang
Shiyu Liang
July 18, 2019 06:12 AM

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