Solve the system of equations
3x + 2y + 4z = 7
2x + y + z = 7
x + 3y + 5z = 2
with partial pivoting. Store the multipliers and also write the pivoting vectors.
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Take 10 figure logarithm to bases 10 from x = 300 to x = 310 by unit increment. Calculate the first derivative of log10 x when x = 310.
Find the largest real root α of by f ( x) = x 6 − x − 1 = 0 lying between 1 and 2. Perform three iterations by
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ii) secant method ( x0 = 2, x1 = 1) .
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