consider a reflection matrix A and a vector x in R2. We define v=x+Ax and w=x-Ax. (v,x,w are vector)

a. using the definition of relection, express A(Ax) in terms of X.

b.Express Av in terms of v.

c.Express Ax in terms of w.

d If the vector v and w are both nonzero, what is the angle between v and w.

e. If the vector v is nonzero, what is the relationship between v and the line L of relection?

a. using the definition of relection, express A(Ax) in terms of X.

b.Express Av in terms of v.

c.Express Ax in terms of w.

d If the vector v and w are both nonzero, what is the angle between v and w.

e. If the vector v is nonzero, what is the relationship between v and the line L of relection?