Question: Let u and v be solutions to the homogeneous linear system Ax - 0. (a) Show that u + v is a solution. (b) Show

Let u and v be solutions to the homogeneous linear system Ax - 0.
(a) Show that u + v is a solution.
(b) Show that u - v is a solution.
(c) For any scalar r, show that ru is a solution.
(d) For any scalars r and s, show that ru + sv is a solution.

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