" If "3A=|[1,2,2],[2,1,-2],[a,2,b]|" and "A" is an orthogonal matrix then the product of a and "b" is equal to "

If A=1/3{:[(1,2,2),(2,1,-2),(a,2,b)]:} is an orthogonal matrix, then

If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then a=-2 b. a=2,b=1 c. b=-1 d. b=1

If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then a=-2 b. a=2,b=1 c. b=-1 d. b=1

Prove that A=1/3[(1,2,2),(2,1,-2),(-2,2,-1)] is an orthogonal matrix.

If A=(1)/(3)[[1,2,22,1,-2a,2,b]] is an orthogonal ,b=-1 d.b=1

Show that , A =1/3[[-1,2,-2],[-2,1,2],[2,2,1]] is proper orthogonal matrix .

Show that, A = 1/3[[1,2,2],[2,1,-2],[-2,2,-1]] are orthogonal matrix and hence find A^(-1) .

If A = (1)/(3) [(1,2,2),(2,1,-2),(a,2,b)] is an orthogonal matrix, then a)a = - 2, b = - 1 b)a = 2, b = 1 c)a = 2, b = - 1 d)a = - 2, b = 1