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Consider the Rayleigh quotient, R(x1, x2) = 5x 2 1 + 6x1x2 + 13x 2 2 x 2 1 + x 2 2 where x

Consider the Rayleigh quotient, R(x1, x2) = 5x 2 1 + 6x1x2 + 13x 2 2 x 2 1 + x 2 2 where x 6= 0. Find a matrix A such that R = x T Ax xT x and then find the minimum and maximum value of R.

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