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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 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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