# MTH603 Quiz 1 Solution and Discussion

• If there are three equations in two variables, then which of the following is true?

• The statement, 7265 instead of 7269 lies in the category of:

With regard to the dangers from lead opinion , if you removed the loose paint off the hands poisoning , it is pretty hard on … Do you not think your statement is rather a 7269. … That 7265. Of course they will not need soap if they can is where sand - papering comes in . rub the paint off dry from their hands P - I said you 7293.

• The statement, 7265 instead of 7269 lies in the category of:

• Gaussian elimination and ……………methods.

In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. It consists of a sequence of operations performed on the corresponding matrix of coefficients.

• Gaussian elimination and ……………methods.

• Which of the following method is not an iterative method?

1. Which of the following is not an iterative method?
Explanation: Jacobi’s method, Gauss Seidal method and Relaxation method are the iterative methods and Gauss Jordan method is not as it does not involves repetition of a particular set of steps followed by some sequence which is known as iteration.

• Which of the following method is not an iterative method?

• The 3rd row of the augmented matrix of the system of linear equations is: 2x+z=4 x-y+z=-3 -y+z=-5

• 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.

11

3

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4

4

1

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