Fsc Part 1 Mathematics (Complete Solution)

Q7
Show that λ(A+B)=λA+λB

If A=[aij]2x3 and B=[bij]2x3 , show that λ(A+B)=λA+λB .

SOLUTION: λ(A+B)=λA+λB

L.H.S= λ(A+B)

     =  λ([aij]2x3 +[bij]2x3)

    =  λ[aij]2x3 +λ[bij]2x3 

    =λA+λB

    =R.H.S

Hence λ(A+B)=λA+λB

  so proved.

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