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2. Assume that A is an n xn matrix such that AX = B is inconsistent for some nx 1 matrix B. (a) Show that

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2. Assume that A is an n xn matrix such that AX = B is inconsistent for some nx 1 matrix B. (a) Show that A is not invertible. 2 pts (b) Show that AX = 0 has infinitely many solutions. 2 pts

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