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6. In the Gauss elimination method for solving a system of linear algebraic equations, triangularzation leads to
Diagonal matrix
Lower triangular matrix
Upper triangular matrix
Singular matrix
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7. If Δf(x) = f(x+h) - f(x), then a constant k, Δk equals
1
0
f(k)- f(0)
f(x + k) - f(x)
8. Double (Repeated) root of4x3- 8x2- 3x + 9 = 0 by Newton-raphson method is
1.4
1.5
1.6
1.55
9. Using Bisection method, negative root of x3 - 4x + 9 = 0 correct to three decimal places is
-2.506
-2.706
- 2.406
None of these
10. Four arbitrary points (x1, y1), (x2, y2), (x3, y3),(x4, y4) are given in the x, y-plane. Using the method of least squares, if regressing y upon x gives the fitted line y = ax + b; and regressing y upon x gives the fitted line y + ax + b; and regressing x upon y gives the fitted linex = cy + d, then
Two fitted lines must coincide
Two fitted lines need not coincide
It is possible that ac = 0
A must be 1/c
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