O(n) denotes the orthogonal group, the subgroup of GLn(R) consisting of all real orthogonal n × n matrices. These are the rotations and reflections of R n that fix the origin. Find the orbits of the O(2)-action on R 2 . For a point (x, y) ∈ R 2 what is its stabilizer?

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d? are he re

Awoman has 14 different shirts: 10 white shirts and 4 red shirts. if she randomly chooses 2 shirts to take with her on vacation, then what is the probability that she will choose two white shirts? show your answer in fraction and percent, round to the nearest whole percent.

How do you do the foil method with polynomials?