MTH603 Quiz 2 Solution and Discussion
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In Gauss-Seidel method, each equation of the system is solved for the unknown with -------- coefficient, in terms of remaining unknowns.
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While using Relaxation method, which of the following is increment ‘dxi’corresponding to the largest Residual for 1st iteration on the system;
2x+3y = 1, 3x +2y = - 4 ? -
While using Relaxation method, which of the following is the Residuals for 1st iteration on the system; 2x 3y = 1, 3x 2y =4 ?
MTH603
(2,3) -
If the determinant of a matrix A is not equal to zero then the system of equations will have……….
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@cyberian said in MTH603 Quiz 2 Solution and Discussion:
If the determinant of a matrix A is not equal to zero then the system of equations will have……….
A nxn homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. If this determinant is zero, then the system has an infinite number of solutions.
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In ………… method, matrix [A] of the system of equations is decomposed into the product of two matrices [L] and [U], where [L] is a lower-triangular matrix and [U] is an upper-triangular matrix with 1’s on its main diagonal.
MTH603
Gauss-Seidel
Crout’s ReductionMethod -
@cyberian said in MTH603 Quiz 2 Solution and Discussion:
In ………… method, matrix [A] of the system of equations is decomposed into the product of two matrices [L] and [U], where [L] is a lower-triangular matrix and [U] is an upper-triangular matrix with 1’s on its main diagonal.
MTH603
Gauss-Seidel
Crout’s ReductionMethodCrout’s ReductionMethod
Here the coefficient matrix [A] of the system of equations is decomposed into the product of two matrices
[L] and [U], where [L] is a lower-triangular matrix and [U] is an upper-triangular matrix with 1’s on its
main diagonal. -
If the order of coefficient matrix corresponding to system of linear equations is 33 then which of the following will be the orders of its decomposed matrices; ‘L’ and ‘U’? MTH603
Order of ‘L’ = 31, Order of ‘U’ = 1*3 -
At which of the following points the Minimum value of 2nd derivative of function
f(x) = -(2/x) in the interval:[1,4] exits? -
@zaasmi said in MTH603 Quiz 2 Solution and Discussion:
At which of the following points the Minimum value of 2nd derivative of function
f(x) = -(2/x) in the interval:[1,4] exits?At x=1
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In solving the differential equation
y/=x+y;y(0)=1
h=0.2
By Euler’s method y(0.2) is calculated as -
Given that dy/dt=t+y with the initial condition y0=1at t0=0 find the 3rd term in Taylor series when t=1.5 and y// =0.6
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Which of the following method is simplest one to integrate numerically a given tabular function but give more error?
Rectangular method
Trapezoidal method
Simpson’s 1/3 Rule
Simpson’s 3/8 Rule
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@zaasmi said in MTH603 Quiz 2 Solution and Discussion:
Which of the following method is simplest one to integrate numerically a given tabular function but give more error?
Rectangular method
Trapezoidal method
Simpson’s 1/3 Rule
Simpson’s 3/8 Rule
Trapezoidal method
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Trapezoidal rule of integration of a definite integral is of…………
O(h2)
O(h3)
O(h4)
None of the given choices -
In Simpson’s rule, we can estimate the integral by …………the areas under the parabolic arcs through three successive points.
Adding
Subtracting
Multiplying
None of the given choices