If
and
verify that (A + B)’ = (A’ + B’).
Given
and 
To Prove: (A + B)’ = A’ + B’
Proof: Let us consider C = A + B


Now LHS = C’

To find RHS, we will find transpose of matrix A and B
And 
RHS = A’ + B’


LHS = RHS
Hence proved.
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