Verify `3(1/3)=(1/3)3=1`

Verify (AB)^(-1)=B^(-1)A^(-1) for the matrices A and B where A=[{:(2,3),(1,-4):}] and B=[{:(1,-2),(-1,3):}]

Find the inverse of A=[133143134] and verify that A^(-1)A=I_(3)

Verify: (25xyz)((1)/(5)xyz)^(2)=x^(3)y^(3)z^(3) for x=2,y=1,z=2

(4)/(9^(1/3)-3^(1/3)+1) is equal to 3^(1/3)+1b3^(1/3)-1c*3^(1/3)+2d*3^(1/3)-2

The simplified of ((1)/(3)-:(1)/(3) xx(1)/(3))/((1)/(3)-:(1)/(3)"of"(1)/3)-(1)/(9) is

Let A=[[3,72,5]] and B=[[6,87,9]]. Verify that (AB)^(-1)=B^(-1)A^(-1)

If A=[(2,3),(1,5)] and " verify that "(A')^(-1)=(A^(-1))' .

If A=[(-1,1,0),(0,-1,1),(2,3,4)] verify that 3/4A'=(3/4A)^'

Verify that 3,-1,-1//3 are the zeroes of the cubic polynomial p(x)=3x^(3)-5x^(2)-11x-3 and then verify the relationship between the zeroes and the coeffcients.