For the quadratic form q(x),x2) = 4x\x2 + 5*2> find an orthogonal basis w\,w2 of R2 such

Chapter 8, Problem 64

(choose chapter or problem)

For the quadratic form q(x),x2) = 4x\x2 + 5*2> find an orthogonal basis w\,w2 of R2 such that q(c\W[ + c2w2) = c2 + c\. Use your answer to sketch the level curve q(x) = 1. Compare with Example 4 and Figure 4 in this section. Exercise 63 is helpful.

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