Let A be the matrix of the quadratic form below It can be shown that...
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Algebra
Let A be the matrix of the quadratic form below It can be shown that the eigenvalues of A are 5 8 and 11 Find an orthogonal matrix P such that the change of variable x Py transforms x Ax into a quadratic form with no cross produc term Give P and the new quadratic form 8x 7x2 9x 4x x2 4x1x3 Which of the following matrices can be used in x Py to produce a quadratic form with no cross product term OA 1 2 2 2 2 0 1 The corresponding quadratic form is y Dy Simplify your answer B T 2 3 13 W N 1 1 3 3 2 2 1 3 3 2 www W N WIN 3 2 I 73 2 W N 3 C I 3 2 7 7 67 2 6 7 7 19 2 3 7 7 6 7 7
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