MTH603 Quiz 2 Solution and Discussion
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If a system of equations has a property that each of the equation possesses one large coefficient and the larger coefficients in the equations correspond to different unknowns in different equations, then which of the following iterative method id preferred to apply?
MTH603
Gauss-Seidel method -
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