Question: 5. (a) Let A be a square matrix. If det A is not 0, how many solutions does the equation Ax = 0 have? (b)

5. (a) Let A be a square matrix. If det A is not 0, how many solutions does the equation Ax = 0 have? (b) Let B be a 3 3 matrix such that the entries in each row of B add up to 0 (i.e., bi1 + bi2 + bi3 = 0 for 1 i 3). Use part (a) to show that det B = 0.

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