Question: If E is a 2 Ã 2 matrix with entries between 0 and 1, show that I - E is invertible and (I - E)-1

If E is a 2 × 2 matrix with entries between 0 and 1, show that I - E is invertible and (I - E)-1 ‰¥ 0 if and only if tr E
E =

then tr E = a + d and det E = ad - bc.

E =

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