I have sets of 2d vectors to be transformed by an augmented matrix A that performs an affine transform.(adsbygoogle = window.adsbygoogle || []).push({});

Matrix A can have values that differ at most |d| from the identity matrix, to limit the transformation, meaning that the min/max bounds for A are [itex] I_3 \pm dI_3[/itex]

The problem is that i'd lke to have bounds for the inverse as well, expressed as a function of d, so that if i know that the transformation matrix is bound by d, that the matrix of the inverse transformation is bound by f(d).

I thought the same bounds would apply, but they don't.

Is there a way to find them?

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# Inverse transformation matrix entry bounds

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