Find the maximum value of $Q ( x )$ subject to the constraints $_x T _ { x } = 1$ and $_x { T } \mathbf { _u } = 0$, where $u$ is a unit eigenvector corresponding to the greatest eigenvalue of the matrix of the quadratic form.
-$$Q ( x ) = 14 x _ { 1 } ^ { 2 } + 14 x _ { 2 } ^ { 2 } + 18 x _ { 3 } ^ { 2 } + 26 x _ { 1 } x _ { 2 } + 18 x _ { 1 } x _ { 3 } + 18 x _ { 2 } x _ { 3 }$$
A) 36
B) 9
C) 1
D) 16

Question

Find the maximum value of $Q ( x )$ subject to the constraints $_x  T _ { x } = 1$ and $_x  { T } \mathbf { _u } = 0$, where $u$ is a unit eigenvector corresponding to the greatest eigenvalue of the matrix of the quadratic form.
-$$Q ( x ) = 14 x _ { 1 } ^ { 2 } + 14 x _ { 2 } ^ { 2 } + 18 x _ { 3 } ^ { 2 } + 26 x _ { 1 } x _ { 2 } + 18 x _ { 1 } x _ { 3 } + 18 x _ { 2 } x _ { 3 }$$
A) 36
B) 9
C) 1
D) 16

Quizplus · Accepted Answer

The Answer of Find the maximum value of $Q ( x )$ subject to the constraints $_x  T _ { x } = 1$ and $_x  { T } \mathbf { _u } = 0$, where $u$ is a unit eigenvector corresponding to the greatest eigenvalue of the matrix of the quadratic form.
-$$Q ( x ) = 14 x _ { 1 } ^ { 2 } + 14 x _ { 2 } ^ { 2 } + 18 x _ { 3 } ^ { 2 } + 26 x _ { 1 } x _ { 2 } + 18 x _ { 1 } x _ { 3 } + 18 x _ { 2 } x _ { 3 }$$
A) 36
B) 9
C) 1
D) 16

Find the Maximum Value Of Q(x)Q ( x )Q(x) Subject to the Constraints

Find the Maximum Value Of $Q ( x )$ Subject to the Constraints