MTH603 Quiz 1 Solution and Discussion
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@zareen said in MTH603 Quiz 1 Solution and Discussion:
In Simpson’s 1/3 rule, the global error is of ……………… MTH603
Mth603 Just Final term MCQS (latest quiz included and FAQs and Glossary is also included in this file) Plz. … This preview shows page 1 - 3 out of 46 pages. … True False In Simpson’s 3/8 rule, the global error is of O(h2) O(h3) O(h4) None of …
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@zareen said in MTH603 Quiz 1 Solution and Discussion:
Extrapolation
In mathematics, extrapolation is a type of estimation, beyond the original observation range, the value of a variable on the basis of its relationship with another …
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@zareen said in MTH603 Quiz 1 Solution and Discussion:
Interpolation
Reff
In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing new data points within the range of a discrete set of known data points. -
@zareen said in MTH603 Quiz 1 Solution and Discussion:
Divided difference
Divided differences is a recursive division process. The method can be used to calculate the coefficients in the interpolation polynomial in the Newton form.
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Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?
−x1+12x2+5x3=8
9x1+5x2−3x3=12
2x1−4x2+7x3=−15
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Eigenvalues of a _________ matrix are all real.
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@zareen said in MTH603 Quiz 1 Solution and Discussion:
Eigenvalues of a _________ matrix are all real.
If each entry of an n×n matrix A is a real number, then the eigenvalues of A are all real numbers. False. In general, a real matrix can have a complex number eigenvalue. In fact, the part (b) gives an example of such a matrix.
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@zareen said in MTH603 Quiz 1 Solution and Discussion:
@zareen said in MTH603 Quiz 1 Solution and Discussion:
Eigenvalues of a _________ matrix are all real.
If each entry of an n×n matrix A is a real number, then the eigenvalues of A are all real numbers. False. In general, a real matrix can have a complex number eigenvalue. In fact, the part (b) gives an example of such a matrix.
symmetric -
The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.
no
atleast one -
@zareen said in MTH603 Quiz 1 Solution and Discussion:
The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.
NO
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Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?
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@zareen said in MTH603 Quiz 1 Solution and Discussion:
Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?
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Jacobi’s method is highly recommended for ………… matrix to compute all the Eigen values and the corresponding eigenvectors.
Real symmetric
Non real symmetric
real un-symmetric
non of given -
While using the relaxation method for finding the solution of the following system
11x1+x2−x3=8
x1+8x2+5x3=9 with the initial vector (0,0,0), the residuals would be
x1+x2+9x3=7 -
How many Eigen values will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?
Finite Multiple
Infinite many
Unique
None -
The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its ________.