`A=[[1,-1],[2,2]]` and `B=[[1,alpha],[beta,1]]`.If `(A+B)(A-B)=A^2-B^2` , then find `alpha,beta`?

If A=[(a,b),(b,a)] and A^2=[(alpha, beta),(beta, alpha)] then (A) alpha=a^2+b^2, beta=ab (B) alpha=a^2+b^2, beta=2ab (C) alpha=a^2+b^2, beta=a^2-b^2 (D) alpha=2ab, beta=a^2+b^2

If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)] , then -

If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)] then

If A=[[alpha ,beta],[ gamma , -alpha]] is such that A^2=I , then A) 1+alpha^2+beta gamma=0 B) 1-alpha^2+beta gamma=0 C) 1-alpha^2-beta gamma=0^ D) 1+alpha^2-beta gamma=0

If A=[{:(a,b),(b,a):}] and A^(2)=[{:(alpha, beta),(beta, alpha):}] then