Question: Suppose that v = (x1, X2, . . ., Xn) and v' = (x) , x)2, ..., 'n) are solutions of the system: all1 +

Suppose that v = (x1, X2, . . ., Xn) and v' = (x) , x)2, ..., 'n) are solutions of the system: all1 + a12X2 + . . . + alln a21X1 + a22%2 + . . . + a2nan = O . . . akid1 + ak2x2 + . . . + aknan 0 Prove that the following are also solutions of the system. 1. Av for ) E R 2. v + v' Conclude that the set of solutions is a subspace of R&quot

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