Question: 2. Let A be an m x n matrix and b be an m x 1 vector. (a) Suppose xp is a particular solution to

2. Let A be an m x n matrix and b be an m x 1 vector. (a) Suppose xp is a particular solution to Ax = b. If up is another particular solution, prove that Xp = Xp + *h, where *h is a solution of the corresponding homogeneous system Ax = 0. (b) Prove that the null space of A is a vector space

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