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If A =[{:(1,2),(1,1):}]and B = [{:(0,-1)...

If `A =[{:(1,2),(1,1):}]and B = [{:(0,-1),(1,2):}]`, then what is `B^(-1)A^(-1)` equal to ?

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What is A+B, if A=[{:(1,2),(3,-1):}] and B=[{:(0,-1),(-2,1):}]

(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=[(2,2),(-3,2)], B=[(0,-1),(1,0)] then (B^(-1)A^(-1))^(-1) is equal to