Find the general solution of each of the following systems: (a) y_ 1 = y1 + y2 y_ 2 = 2y1 + 4y2 (b) y_ 1 = 2y1 + 4y2 y_ 2 = y1 3y2 (c) y_ 1 = y1 2y2 y_ 2 = 2y1 + 4y2 (d) y_ 1 = y1 y2 y_ 2 = y1 + y2 (e) y_ 1 = 3y1 2y2 y_ 2 = 2y1 + 3y2 (f) y_ 1 = y1 + y3 y_ 2 = 2y2 + 6y3 y_ 3 = y2 + 3y3

M303 Section 1.7 Notes- Linear Independence 9-14-16 Linear independence- set of vectors ,…, linearly independent if vector equation + + ⋯+ = has only trivial solution = , ie. , ,…, = 0 1 2 1 2 o If = … ,...