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Eigen Values Doubt

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Let there is a 2*2 Matrix and their eigen values are A and B. The eigen values of $(A+7I)^{-1}$ ?

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First the additon of 7 to the eigen values will be carried out...
As the addition of any number of identity matrix to the matrix, will yield in the addition of the same number to its eigen values to be the new ones...!
So, (A+7), (B+7)..

Now, taking the inverse of the whole thing...
The inverse of the matrix, yields in the reciprocal of the original eigen values, to get new ones..!!
We'll get the eigen values as..

{1/(A+7)}, {1/(B+7)}..

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