Question: Determine whether q(x, x) = (2x - 3x) is quadratic or not. 5.2. Find an orthogonal change of variables that eliminate the cross-product terms

Determine whether q(x, x) = (2x - 3x) is quadratic or not.

Determine whether q(x, x) = (2x - 3x) is quadratic or not. 5.2. Find an orthogonal change of variables that eliminate the cross-product terms in the quadratic form q(x, y, z) = x + 2xy + 6xz + 3y + 2yz + z and express q in terms of the new variable.

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