[3 pt ) Weighted norms . For any vector norm\\ . and nonsingular matrix $1, define a weighted norm llulla = 11 Hull VUE {` Prove that \\\\ . II, is in fact a norm . Choose a matrix AE #* _ and plot the unit ball described by 11 . 1/4. i.e., plot the points ( I, W ) E B = [VEK' such that |ullA = 1)