Find the value of the following - - 1 0 - 2- 3 - 1 2- 4 5 6 -

| [ 1 amp; 0 amp; 2; 3 amp; 1 amp; 2; 4 amp; 5 amp; 6 ]| C_3⇒ #160; C_3+2C_1 = | [ 1 amp; 0 ...

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Definition of a Determinant

Find the valu...

Question

Find the value of the following
$∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 & - 2 3 & - 1 & 2 4 & 5 & 6 \end{matrix} ∣ ∣ ∣ ∣$

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x [\begin{matrix} 23 \end{matrix}] + y [\begin{matrix} - 1 1 \end{matrix}] = [\begin{matrix} 105 \end{matrix}]

x

y

⎡ ⎢ ⎣ \begin{matrix} - 1 & 2 1 & - 2 3 & - 1 \end{matrix} ⎤ ⎥ ⎦ + ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 - 1 & 0 - 2 & 1 \end{matrix} ⎤ ⎥ ⎦

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

a (\begin{matrix} 23 \end{matrix}) + b (\begin{matrix} - 1 1 \end{matrix}) = (\begin{matrix} 105 \end{matrix})

A = ⎡ ⎢ ⎣ \begin{matrix} 2 & 8 & - 4 0 & - 1 & - 2 3 & - 1 & 5 \end{matrix} ⎤ ⎥ ⎦

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