u(2)=11.4817⎛⎝⎜⎜0.3981760.8212671.0⎞⎠⎟⎟

we have the largest eigen value and the corresponding eigenvector as

]]>]]>

The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric________ definite matrices. Explanation: Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices because only in this case convergence is possible.

]]>The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its ________.

The Jacobi method is a method of solving a matrix equation on a matrix that has no zeros along its main diagonal (Bronshtein and Semendyayev 1997, p. 892). Each diagonal element is solved for, and an approximate value plugged in. The process is then iterated until it converges.

]]>Finite Multiple

**Infinite many**

Unique

None

11x1+x2−x3=8

x1+8x2+5x3=9 with the initial vector (0,0,0), the residuals would be

x1+x2+9x3=7 ]]>

**Real symmetric**

Non real symmetric

real un-symmetric

non of given

]]>Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?

The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.

NO

]]>no

atleast one ]]>

]]>@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

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.

]]>−x1+12x2+5x3=8

9x1+5x2−3x3=12

2x1−4x2+7x3=−15

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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.

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.

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 …

]]>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 …

]]>δ = E 1/2 - E 1/2

δ δ. + terms involving high powers of δx1, δx2 are infinitesimal their squares and higher powers … [eh - 1] ∆ex = (eh – 1)( e(x+h) - ex ) = (eh – 1)2 ex. ∴∆2 eax …

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