Let A=[{:(1,2),(-1,3):}],B=[{:(4,0),(1,5):}],C=[{:(2,0),(1,-2):}]and a=4, b =-2shows that : (i) A+(B+C)=(A+B)+C (ii)A*(BC)=(AB)*C (iii)(a+b)B=a*B+b*B (iv)a(C-A)=aC-aA (v)(A^(T))^(T)=A (vi) (b*A)^(T)=B^(T)=b*A^(T) (vii)(A*B)^(T)=B^(T)*A^(T) (viii)(A-B)*C=AC-BC (ix)(A-B)^(T)=A^(T)-B^(T)

Let A=[{:(1,2),(-1,3):}],B=[{:(4,0),(1,5):}],C=[{:(2,0),(1,-2):}]and a

1.	Let A=[{:(1,2),(-1,3):}],B=[{:(4,0),(1,5):}],C=[{:(2,0),(1,-2):}]and a=4, b =-2shows that : (i) A+(B+C)=(A+B)+C (ii)A(BC)=(AB)C (iii)(a+b)B=aB+bB (iv)a(C-A)=aC-aA (v)(A^(T))^(T)=A (vi) (bA)^(T)=B^(T)=bA^(T) (vii)(AB)^(T)=B^(T)A^(T) (viii)(A-B)*C=AC-BC (ix)(A-B)^(T)=A^(T)-B^(T)
Answer» ANSWER :(i) `=(A+B)+C` (ii)`=(AB)C` `=aB+bB` (iv) `=aC-aA` (v) `=A` (vi) `=bA^(T)` (vii) `=B^(T)A^(T)` (VIII) `=AC-BC` (IX) `=A^(T)-B^(T)`

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Let A=[{:(1,2),(-1,3):}],B=[{:(4,0),(1,5):}],C=[{:(2,0),(1,-2):}]and a=4, b =-2shows that : (i) A+(B+C)=(A+B)+C (ii)A*(BC)=(AB)*C (iii)(a+b)B=a*B+b*B (iv)a(C-A)=aC-aA (v)(A^(T))^(T)=A (vi) (b*A)^(T)=B^(T)=b*A^(T) (vii)(A*B)^(T)=B^(T)*A^(T) (viii)(A-B)*C=AC-BC (ix)(A-B)^(T)=A^(T)-B^(T)

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Let A=[{:(1,2),(-1,3):}],B=[{:(4,0),(1,5):}],C=[{:(2,0),(1,-2):}]and a=4, b =-2shows that : (i) A+(B+C)=(A+B)+C (ii)A(BC)=(AB)C (iii)(a+b)B=aB+bB (iv)a(C-A)=aC-aA (v)(A^(T))^(T)=A (vi) (bA)^(T)=B^(T)=bA^(T) (vii)(AB)^(T)=B^(T)A^(T) (viii)(A-B)*C=AC-BC (ix)(A-B)^(T)=A^(T)-B^(T)