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 Find the maximum value of Q(x) subject to the constraint xTx=1\text { Find the maximum value of } Q ( x ) \text { subject to the constraint } _x T _ { x = 1 } \text {. }

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 Find the maximum value of Q(x)  subject to the constraint xTx=1\text { Find the maximum value of } Q ( x ) \text { subject to the constraint } _x T _ { x = 1 } \text {. }
- Q(x) =14x12+14x22+18x23+26x1x2+18x1x3+18x2x3Q ( x ) = 14 x _ { 1 } ^ { 2 } + 14 x _ { 2 } ^ { 2 } + 18x \frac { 2 } { 3 } + 26 x _ { 1 } x _ { 2 } + 18 x _ { 1 } x _ { 3 } + 18 x _ { 2 } x _ { 3 }


Definitions:

Normally Distributed

A probability distribution where the data tends to cluster around a central mean value, creating a curve that is symmetric around the mean.

Normally Distributed

A type of distribution in which the data's histogram has a bell-shaped curve, indicating that most values cluster around a central region, with fewer at the edges.

Standard Deviation

A statistical measure of the dispersion or spread of data points in a data set.

Tax Rebate

A refund on taxes paid, typically when the tax liability is less than the taxes paid.

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