if `A=[{:(2,-3),(1,4):}],B=[{:(-1,0),(1,2):}], C=[{:(3,1),(1,2):}]`, then show that A (BC)=(AB)c.

(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.

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

If A=[{:(1,2),(3,4):}],B=[{:(3,2),(1,4):}],C=[{:(2,2),(1,3):}] Calculate 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=[(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).

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A(BC) = (AB)C

If A=[{:(,1,3),(,2,4):}], B=[{:(,1,2),(,4,3):}] and C=[{:(,4,3),(,1,2):}] . Find (i) (AB) C (ii) A (BC) Is A(BC)=(AB) C?