Question: Exercise 6. Let x = (a, b, c) E R3 and A E M33 such that x Ax = a2 + c2 + 2bc. Is

Exercise 6. Let x = (a, b, c) E R3 and A E M33 such that x Ax = a2 + c2 + 2bc. Is A a positive definite matrix? If there isn't sufficient information provided to answer the question, explain what is missing. Otherwise, prove your
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