Question: (b) (a) Solve, by Crouts method, the following system of linear equation: 4x + y + z = 4; x+4y= 2z = 4; 3x

(b) (a) Solve, by Crouts method, the following system of linear equation: 4x + y + z = 4; x+4y= 2z = 4; 3x + 2y = 4z = 6. Solve, by Gauss Seidel method, the following system of linear equation: -2x + y + 5z = 15; 4x - 8y + z = -21; 4x - y - 2z = -2. When a train is moving at 30 m/sec., steam is shut off and brakes are applied. The speed of the train per second after t second is given by 25 30 Time (t) 0 5 10 15 20 35 40 Speed (v) m/sec 30 24 19.5 16 13.6 11.7 10.0 8.5 7.0 Estimate the distance moved by the train in 40 seconds by using Simpson's rule. (c)

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