Question: For each homogeneous system, write the coefficient matrix and determine the rank and number of pa- rameters in the general solution. Then determine the

For each homogeneous system, write the coefficient matrix and determine the rank

For each homogeneous system, write the coefficient matrix and determine the rank and number of pa- rameters in the general solution. Then determine the general solution. (a) x + 5x-3x3 = 0 3x1 + 5x29x3 = 0 x + x2-3x3 = 0 (c) x 2x1 + 7x x + 3x + x + x3 2x4 = 0 - 14x4 = 0

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