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Mathematik-Online problems:

Problem 529: Calculation Rules for Matrices and their Inverses

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Proof the following matrix equations or find a counterexample.
a)
$ (A+B)^{-1}=A^{-1}+B^{-1}$
b)
$ AB=BA$
c)
$ \left(A^2\right)^{-1}=\left(A^{-1}\right)^2$
(Authors: Höllig/Höfert)
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  automatisch erstellt am 12.  3. 2018