(a) (i) Show that (x, y, z) = (t + 2, −2t − 1, t) is a general solution of the system
2x + 4y + 6z = 0
4x + 5y + 6z = 3
7x + 8y + 9z = 6.
(ii) Solve the following system
x1 − x2 + 4x5 = 2
x3 − x5 = 2
x4 − x5 = 3.
(b) Solve the following system by Gauss-Jordan elimination:
2x + 8y + 4z = 2
2x + 5y + z = 5
4x + 10y − z = 1.
(c) Solve the system in 1(b) by using Cramer’s rule. First, discuss the applicability of Cramer’s rule to the system.
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