26. Consider the system: 2 12 u + 2v + W - X - 2y - 2ut vt wt x+2y U + V - W + 2x + 4y + 3x + y -ut 3v + wt x+3y - 2 -7

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26 Consider The System 2 12 U 2v W X 2y 2ut Vt Wt X 2y U V W 2x 4y 3x Y Ut 3v Wt X 3y 2 7 1 (122.08 KiB) Viewed 30 times

26. Consider the system: 2 12 u + 2v + W - X - 2y - 2ut vt wt x+2y U + V - W + 2x + 4y + 3x + y -ut 3v + wt x+3y - 2 -7 7 (a) Choose A and b so that the system can be written in matrix form as AX = b where X = (u, v, w, x, y). (b) Check that X; = (-1,1,2, –2, 1) is a solution of the system and check that Xo = (-1,1, -2,1, -1) is a solution of the associated homogeneous system AX = 0. (c) Without using Gaussian elimination or a machine, find two other non-trivial solutions of AX = 0. (d) Without using Gaussian elimination or a machine, find two other solutions of AX = b.