Question: Let A be a m x n matrix over a field K and let Ax = 0 be the homogeneous system of linear equations.

Let A be a m x n matrix over a field K

Let A be a m x n matrix over a field K and let Ax = 0 be the homogeneous system of linear equations. Show that the set of solutions X = (x1, x2,...xn) is a vector space over K. Hint: Show this set is a subspace of K^n.

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