Consider the 3 3 Vandermonde matrix V = 1 x1 x2 1 1 x2 x2 2 1 x3 x2 3 (a) Show that det(V) = (x2x1)(x3x1)(x3x2). [Hint: Make use of row operation III.] (b) What conditions must the scalars x1, x2, and x3 satisfy in order for V to be nonsingular? 1

Math 121 Chapter 2 Notes Lesson 2.2 – Linear Inequalities in One Variable Example 1. 3x – 4 ≥9 + 5x (Add 4 and subtract 5x from both sides.) -2x ≥ 13 (Divide both sides by -2 and flip the sign.) x ≤ -6.5 Interval notation: (-∞, -6.5] (On a number...