Find x so that -1 x 1- 1 3 2- 0 5 1- 0 3 2 - 1- 1- x -0

[1 x 1][ 1 amp; 3 amp; 2; 0 amp; 5 amp; 1; 0 amp; 3 amp; 2 ][ 1; #160; 1; x ]=0 ⇒[1 5x+6 x+4][ 1; #160; 1; ...

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Adjoint of a Matrix

Find x so t...

Question

Find $x$ so that $[1 x 1] ⎡ ⎢ ⎣ \begin{matrix} 1 & 3 & 2 0 & 5 & 1 0 & 3 & 2 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 11 x \end{matrix} ⎤ ⎥ ⎦ = 0$

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x

⌈ 1 x 1 ⌉ ⎡ ⎢ ⎣ \begin{matrix} 1 & 3 & 2 0 & 5 & 1 0 & 3 & 2 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 11 x \end{matrix} ⎤ ⎥ ⎦ = 0

x

[\begin{matrix} 1 & x & 1 \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 1 & 3 & 2 0 & 5 & 1 0 & 3 & 2 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 11 x \end{matrix} ⎤ ⎥ ⎦ = 0

x = \frac{- 9 \pm \sqrt{k}}{2}

k ?

[1 x 1] ⎡ ⎢ ⎣ \begin{matrix} 1 & 3 & 2 0 & 5 & 1 0 & 2 & 0 \end{matrix} ⎤ ⎥ ⎦

⎡ ⎢ ⎣ \begin{matrix} 11 x \end{matrix} ⎤ ⎥ ⎦ = 0

x

x

[1 x 1] ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 3 & 2 & 5 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 - 2 3 \end{matrix} ⎤ ⎥ ⎦ = 0

[\begin{matrix} 1 & x & 1 \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 1 & 3 & 2 0 & 5 & 1 0 & 3 & 2 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 11 x \end{matrix} ⎤ ⎥ ⎦ = 0,

x =

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