For the following quadratic forms (i) write down the symmetric matrix A (so the form is equal to x"Ax), (ii) find matrices P, orthonormal, and D so that D diagonal, (iii) write the quadratic form in terms of y1, decide whether the form is positive/negative definite/semidefinite or indefinite. (a) 2x? – 201x2 + 2x% РТ АР is Py and (iv) Yn where x = ..) - (9) m2 I Am m

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