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Let A,B,C be 2xx2 matrices with entries ...

Let A,B,C be `2xx2` matrices with entries from the set of real numbers. Define operations `*` as follows `A*B =1/2(AB+BA)` then (A) `A*I=A` (B) `A*A=A^2` (C) `A*B=B*A` (D) `A*(B+C)=A*B+A*C`

A

`A*B=B*A`

B

`A*A=A^2`

C

`A*(B+C)=A*B+A*C`

D

`A*I=A`

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