anonymous
  • anonymous
How to find the adjoint matrix from the inverse?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
Something like multiply it by the determinant ?
anonymous
  • anonymous
I think it's 1/det

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anonymous
  • anonymous
Remember the formula for inverse with respect to the adjoint
anonymous
  • anonymous
no thats why i asked the question
anonymous
  • anonymous
how to find adjoint from that?
anonymous
  • anonymous
Whoops wrong formula.
anonymous
  • anonymous
|dw:1378618645190:dw|
anonymous
  • anonymous
I think that was it.
anonymous
  • anonymous
And \[ \frac{1}{\det A} = \det A^{-1} \]
anonymous
  • anonymous
So multiply by determinant
anonymous
  • anonymous
You know A^-1 . You can find the determinant of a 3x3 matrix. Solve for the adjoint.
anonymous
  • anonymous
so can you rearranged that equation for adjoint?
anonymous
  • anonymous
Well i would actually find the values first.
anonymous
  • anonymous
And like wio said 1/det(a) =det(a^-1)
anonymous
  • anonymous
so det of A^-1 = -21........
anonymous
  • anonymous
\[\left[\begin{matrix}3 & 0 & 1 \\0 & 2 & 3 \\ 3 & 1 & -1 \end{matrix}\right]=-21*adjoint\]
anonymous
  • anonymous
now what?
anonymous
  • anonymous
Solve for the adjoint lol.....
anonymous
  • anonymous
divide by -21
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
therefore \[\left[\begin{matrix}-1/7 & 0 & -1/21 \\ 0 & -2/21 & -1/7 \\ -1/7 & -1/21 & 1/21\end{matrix}\right]\]
anonymous
  • anonymous
cheers, im actually so good at answering my own questions

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