# MTH603 Quiz 1 Solution and Discussion

• The number system that is used in our daily life is called…system.

The number system that we use in our day-to-day life is the decimal number system. Decimal number system has base 10 as it uses 10 digits from 0 to 9.

• The number system that is used in our daily life is called…system.

• While using power method, from the resultant normalize vector
u(2)=11.4817⎛⎝⎜⎜0.3981760.8212671.0⎞⎠⎟⎟

we have the largest eigen value and the corresponding eigenvector as • How many Eigen values will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?

• While using Gaussian Elimination method, which of the following augmented matrix is in upper triangular form? • Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix? • The eigenvectors of a square matrix are the non-zero vectors that, after being multiplied by the matrix, remain …………… to the original vector. • The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices A.

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.

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

• 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

• 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 • 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

• Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?  • 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  2

5

3

8

1

5

1
• ## MTH603 Final Term Past and Current Solved Paper Discussion MTH603 - Numerical Analysis • final exam final term past solved paper mth603 papers by moaaz solved final term paper • • zaasmi

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