" If "(a^(2)+1)/(a)=4," show that: "(a^(6)+1)/(a^(3))=52

If (a^(2)+1)/(a)=4 then show that (a^(6)+1)/(a^(3))=52

If (a-(1)/(a))^(2)=3 show that a^(6)+(1)/(a^(6))=110

If a=(1+i)/(sqrt2), "show that" a^(6)+a^(4)+a^(2)+1=0.

Show that : x^(3)+(1)/(x^(3))=52 , if x =2 + sqrt(3)

If A=[(5,2),(-1,2)] and I=[(1,0),(0,1)] show that : (A-3I)(A-4I)=O

If A=[[1,3,4],[2,6,7]] ,show that (A')'=A

If A={:[(1,2,5),(-1,3,-4)]:} and B={:[(3,-2,1),(0,-1,4),(5,2,-1)]:}, show that, (AB)^(T)=B^(T)A^(T) where A^(T) is the transpose of A.

If A = [(5,2),(-1,2)] and I = [(1,0),(0,1)] show that (A - 3I) (A - 4I) = 0