. Assume that X ER" is a solution of AX = 0. Show that for any c ER, the vector cX is also a solution of this equation. . Assume that X, X' = R¹ are solutions of the equations AX = 0 and AX' = 0. Show that X+X' is also a solution of this equation. . Assume that YER" is a solution of the equation AY = B, and assume that XER" is a solution of the homogeneous equation AX = 0. Show that Y + X is still a solution of the original equation.

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