Q32 of 146 Page 52

Let and a = 4, b = –2.

Show that:


A(BC) = (AB)C

To prove: A(BC) = (AB)C


LHS = A(BC) =


⇒ LHS =


⇒ LHS =


⇒ LHS =


RHS = (AB)C =


Performing matrix multiplication as done for LHS


⇒ RHS =


⇒ RHS =


Clearly LHS = RHS =


∴ A(BC) = (AB)C …proved


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