The eigenvectors a(1) and a(2) that describe the motion in the two normal modes of the two carts of Section 11.2 are given in (11.78). Prove that any (2 x 1) column x can be written as a linear combination of these two eigenvectors; that is, a(1) and a(2) are a basis of the space of (2 x 1) columns.

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...