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 Compute the quadratic form xTAx for the given matrix A and vector x\text { Compute the quadratic form } x ^ { T } A x \text { for the given matrix } A \text { and vector } x \text {. }

Question 12

Multiple Choice

 Compute the quadratic form xTAx for the given matrix A and vector x\text { Compute the quadratic form } x ^ { T } A x \text { for the given matrix } A \text { and vector } x \text {. }
- A=[2009],x=[x1x2]A = \left[ \begin{array} { r r } 2 & 0 \\0 & - 9\end{array} \right] , x = \left[ \begin{array} { l } x _ { 1 } \\x _ { 2 }\end{array} \right]


A) 2x129x222 x { } _ { 1 } ^ { 2 } - 9 x \frac { 2 } { 2 }
B) 2x19x22 x _ { 1 } - 9 x _ { 2 }
C) 4x118x24 x1 - 18 x 2
D) 9x21+2x22- 9 x \frac { 2 } { 1 } + 2 x \frac { 2 } { 2 }

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