If `F(alpha)=[[cos alpha,0,sin alpha],[0,1,0],[-sin alpha,0,cos alpha]]`, show that `[F(alpha]^(-1)=F(-alpha)`.

If F (alpha)= [{:(cosalpha,0, sinalpha),(0,1,0),(-sinalpha,0,cosalpha):}] Show that = F (alpha)^(-1)= F(-alpha)

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

If A(alpha, beta)=[("cos" alpha,sin alpha,0),(-sin alpha,cos alpha,0),(0,0,e^(beta))] , then A(alpha, beta)^(-1) is equal to

If f(alpha,beta)=|(cos alpha,-sin alpha,1),(sin alpha,cos alpha,1),(cos(alpha+beta),-sin(alpha+beta),1)|, then

If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I , then the value of alpha is

If A=[[cos alpha, -sin alpha],[ sin alpha, cos alpha]] , then the number of values of alpha in (0, pi) satisfying A+A^T=I_, is [Note: I is an identity matrix of order 2 and P^T denotes transpose of matrix P .]

if cos alpha + sin alpha = 3/4 , then sin ^6 alpha + cos ^6 alpha =

sin 3 alpha = 4 sin alpha sin(x + alpha) sin(x-alpha)

If A=[(sin alpha, cos alpha),(-cos alpha, sin alpha)] , then verify that A'A=I