Question: Let f(x1, x2, 3) = 3x + 4x + 3x + 2x1x3. x1 X2 (i) Find an orthogonal transformation X3 f(x1, T2, T3) to

Let f(x1, 2, 3) = 3x + 4x + 3x + 2x1x3. x1 X2 (i) Find an orthogonal transformation X3 f(x1, T2, T3) to the

Let f(x1, x2, 3) = 3x + 4x + 3x + 2x1x3. x1 X2 (i) Find an orthogonal transformation X3 f(x1, T2, T3) to the standard form in the new variables (i.e. the quadratic form containing only square terms in y, 92, Y3). (ii) Using the results in (i) show that the minimum value for f(x1, T2, T3)/xx X1 X2 0 is equal to 2. with x = X3 ( Y Y2 that transforms Y3

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