If `A=[(1,0),(1,1)], B=[(2,0),(1,1)] and C=[(-1,2),(3,1)],` show that

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

Let A=[(1, 2), (1, 3)], B=[(4, 0), (1, 5)], C=[(2, 0), (1, 2)] show that (A-B)C=AC-BC

Let A=[(1, 2), (1, 3)], B=[(4, 0), (1, 5)], C=[(2, 0), (1, 2)] show that A(BC)=(AB)C

If A=[(1,0,-1),(2,1,0)], B=[(3,1),(-1,2),(0,1)] and C=[(4,2),(-3,0),(1,2)] show that AB=AC .

If A=[(2,-1),(1,1)],B=[(1,0),(2,-2)],C=[(3,1),(-1,2)] Show that (i)(A+B)+C=A+(B+C). (ii)(AB)C=A(BC).

A = [(1, 0), (0, 1)], B = [(1, 0), (0, -1)] and C = [(0, 1), (1, 0)] , then show that A^(2) = B^(2) = C^(2) = I^(2)

if A=[(1,2),(3,4):}],B=[{:(-1,0),(2,3):}]and C=[{:(1,-1),(0,1):}], then show that : (i) A(B+C)=AB+AC (ii) (A-B)C=AC-BC.

if A=[(1,2),(3,4):}],B=[{:(-1,0),(2,3):}]and C=[{:(1,-1),(0,1):}], then show that : (i) A(B+C)=AB+AC (ii) (A-B)C=AC-BC.

If A=[{:(0,1),(1,1):}] "and" B=[{:(0,-1),(1,0):}] , then show that (A+B)(A-B)neA^(2)-B^(2)