Question: 5. (15 marks) Let q be a quadratic form on R given by q =x'+y'+ 2+ 2xz+8yz. Find an ordered basis y = (u1, u2,

5. (15 marks) Let q be a quadratic form on R given by q =x'+y'+ 2+ 2xz+8yz. Find an ordered basis y = (u1, u2, us) for R3 and some A1, 12, As E R such that q is of the form q(au, + buz + cus) = dia? + dab2 + Age

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