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.

Hints:

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

How do you diagonalize it?

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