Q. 44.0( 4 Votes )

If and verify that (P + Q)’ = (P’ + Q’).

Answer :

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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