If
and
verify that (P + Q)’ = (P’ + Q’).
Given
and 
To Prove: (P + Q)’ = P’ + Q’
Proof: Let us consider R = P + Q,


LHS = R
(P + Q)’

To find RHS, we will first find the transpose of matrix P and Q
And 
RHS = P’ + Q’


LHS = RHS
Hence proved.
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