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Let A be a 4 x 4 matrix and denote by a, a2, a3, a4 the columns of A. Suppose that a + a3

Let A be a 4 x 4 matrix and denote by a, a2, a3, a4 the columns of A. Suppose that a + a3 = a + a4. (a). How many solutions will the system Ax: (b). Would A be invertible? Explain. = 0 have? Explain.

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