Properties of Transpose and Inverse

Friday, 28 June 2019

3:17 PM

Properties of Transpose and Inverse.
O
O
O
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(AT) T = A, for all A G Mmn
+ = for all A, B and scalars
If AB exists, then (AB) T = B TAT
If A G Mnn is invertible, then the inverse of A is unique.
If both A and B (in Mnn) are invertible, then AB is invertible and
(AB) 1
B IA—I

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