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Find an orthogonal matrix P such that a change of variables, x = Py, where x...

Find an orthogonal matrix P such that a change of variables, x = Py, where x = [x1, x2] , y = [y1, y2] , transforms the quadratic form 6x1^2+ 4x1x2 + 3x2^2 into one with no cross-product term. Write down the new quadratic form.

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