Let `A={0,1}` and `U={0,1,2,3}` then prove that
`A'=U-A`
`(A')'=U-A'`

Let A=(2,3,5) and U={1,2,3,4,5,6,7,9} then find A'=U-A

Given that u_(n+1)=3u_n-2u_(n-1), and u_0=2 ,u_(1)=3 , then prove that u_n=2^(n)+1 for all positive integer of n

let U= {1,2,3,4,5,6,7,8} A = {1,2,,3,4} then find the A complement

If u= cot ^(-1) (sqrt(cos 2 theta)) -tan ^(-1)(sqrt(cos 2 theta)) , then prove that : sin u = tan^(2) theta .

If P(A)= (1)/(4), P(B)= (1)/(3) and P(A U B)= (1)/(2) , prove that A and B are independent events

If z_1a n dz_2 are complex numbers and u=sqrt(z_1z_2) , then prove that |z_1|+|z_2|=|(z_1+z_2)/2+u|+|(z_1+z_2)/2-u|

If U_n=(sqrt(3)+1)^(2n)+(sqrt(3)-1)^(2n) , then prove that U_(n+1)=8U_n-4U_(n-1)dot

Prove the relation, s_t=u + at - 1/2 a.

If x+ yi= (u+ vi)/(u-yi) , prove that x^(2) + y^(2)=1

Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U_1,U_2,U_3 be column matrices satisfying {:AU_1=[(1),(0),(0)],AU_2=[(2),(3),(6)],AU_3=[(2),(3),(1)]:} .If U is 3xx3 matrix whose columns are U_1,U_2,U_3," then "absU=