Find teh adjoint of the matrix A - - 1 0 - 1- 3 4 5- 0 - 6 - 7 - and hence find the matrix A - 1

[ A = ( [ 1 amp;0 amp; 1; 3 amp;4 amp;5; 0 amp; 6 amp; 7 ]); adj A = ( [ 58 amp;21 amp; ...

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Laws of Exponents for Real Numbers

Find teh adjo...

Question

Find teh adjoint of the matrix $A = ⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & - 1 3 & 4 & 5 0 & - 6 & - 7 \end{matrix} ⎞ ⎟ ⎠$ and hence find the matrix $A^{- 1}$

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A = [\begin{matrix} - 1 & - 2 & - 2 \\ 2 & 1 & - 2 \\ 2 & - 2 & 1 \end{matrix}]

A (adj A) = |A| I_{3}

A = ⎛ ⎜ ⎝ \begin{matrix} - 1 & - 2 & - 2 2 & 1 & - 2 2 & - 2 & 1 \end{matrix} ⎞ ⎟ ⎠

A . (a d j A) = | A | I_{3}

∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 2 & 3 & 2 3 & 3 & 4 \end{matrix} ∣ ∣ ∣ ∣

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

A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]

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