Question

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Solve each system, giving the solution set in vector notation. Identify the particular solution and the solution set of the homogeneous system. x + z = 4 x - y + 2z = 5 4x - y + 5z = 17 a + 2b - c = 3 2a + b + d = 4 a - b + c + d = 1 x + z + w = 4 2x + y - w = 2 3x + y + z = 7 2x + y - z = 2 x - y = 0 2x + z = 3 x + 2y + 3z - w = 7 y + 2z - w = 3 z = -1 x + 2y + 3z + u - v = 1 3x - y + z + u + v = 3

Show transcribed image text Solve each system, giving the solution set in vector notation. Identify the particular solution and the solution set of the homogeneous system. x + z = 4 x - y + 2z = 5 4x - y + 5z = 17 a + 2b - c = 3 2a + b + d = 4 a - b + c + d = 1 x + z + w = 4 2x + y - w = 2 3x + y + z = 7 2x + y - z = 2 x - y = 0 2x + z = 3 x + 2y + 3z - w = 7 y + 2z - w = 3 z = -1 x + 2y + 3z + u - v = 1 3x - y + z + u + v = 3