Question: Diagonalize the quadratic form by finding an orthogonal matrix Q such that the change of variable x = Qy transforms the given form into one

Diagonalize the quadratic form by finding anDiagonalize the quadratic form by finding anDiagonalize the quadratic form by finding an
Diagonalize the quadratic form by finding an orthogonal matrix Q such that the change of variable x = Qy transforms the given form into one with no cross-product terms. Give Q and the new quadratic form, f(y). (Assume y = Y2 Enter your answer in the form (Q, A(y)) = ([[row 1], [row 2], [row 3]], A(y)) where each row is a comma-separated list and f(y) is in terms of y, , V2, and y3.) 7X 1 2+ x 7 - 2+ X3 2 + 8x,X, + 8X,X3 - 16X,X3 (Q, f(y) ) =\fDiagonalize the quadratic form by finding an orthogonal matrix Q such that the change of variable x = 011 transforms the Y1 Y2 answer in the form (Q, FWD = [[[rew 1], [row 2]], yjj, where each row is a commaseparated list and ffy) is in terms of y1 and V2.) given form into one with no crass-product terms. Give Q and the new quadratic form, y}. {Assume y = |: ]. Enter your 2 2 _ 5x1 + 8X2 4xlxz {Q,m=(E )

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