The matrix `A={:[((1)/(sqrt(2)),(1)/(sqrt(2))),((-1)/(sqrt(2)),(-1)/(sqrt(2)))]:}` is

If U= [((1)/(sqrt2),(-1)/(sqrt2)),((1)/(sqrt2),(1)/(sqrt2))] , then U^(-1) is

The matrix A=[{:(1/sqrt2,1/sqrt2),((-1)/sqrt2,(-1)/sqrt2):}] is

The matrix A=[{:(1/sqrt2,1/sqrt2),((-1)/sqrt2,(-1)/sqrt2):}] is

(1)/(sqrt(7)-sqrt(2))-(1)/(sqrt(7)+sqrt(2))=

x=(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+2)=

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

[" 64.Let "A=[[0,-sqrt((2)/(3)),(1)/(sqrt(3))],[(1)/(sqrt(2)),-(1)/(sqrt(6)),-(1)/(sqrt(3))],[(1)/(sqrt(2)),(1)/(sqrt(6)),(1)/(sqrt(3))]]" ,then which one of "],[" the following is correct? "],[" (1) "A" is an involutory matrix "],[" (2) "A" is an idempotent matrix "],[" (3) "A" is an orthogonal matrix "],[" (4) "A" is a singular matrix "]