Gaussian Elimination MCQs : Here you will find MCQ Questions related to "Gaussian Elimination" in Finite Element Method. These Gaussian Elimination MCQ Questions Will help you to improve your Finite Element Method knowledge and will prepare you for various Examinations like Competitive Exams, Placements, Interviews and other Entrance Exmaniations
Question 1
Gaussian elimination, also known as?
A. column reduction
B. row reduction
C. matrix reduction
D. All of the above
View Answer
Ans : B
Explanation: Gaussian elimination, also known as row reduction, is an algorithm in linear algebra for solving a system of linear equations.
Question 2
Gaussian elimination method can also be used to find the ?
A. to calculate the determinant of a matrix
B. to calculate the inverse of an invertible square matrix
C. Rank of a matrix
D. All of the above
View Answer
Ans : D
Explanation: This method can also be used to find the rank of a matrix, to calculate the determinant of a matrix, and to calculate the inverse of an invertible square matrix.
Question 3
How many types of elementary row operations?
A. 1
B. 2
C. 3
D. 4
View Answer
Ans : C
Explanation: There are three types of elementary row operations: Swapping two rows, Multiplying a row by a nonzero number, Adding a multiple of one row to another row.
Question 4
Using row operations to convert a matrix into reduced row echelon form is sometimes called?
A. Gauss–Jordan elimination
B. Jordan elimination
C. Gauss elimination
D. Matrix elimination
View Answer
Ans : A
Explanation: Using row operations to convert a matrix into reduced row echelon form is sometimes called Gauss–Jordan elimination.
Question 5
A matrix is said to be in reduced row echelon form if furthermore all of the leading coefficients are equal to 1
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
View Answer
Ans : A
Explanation: A matrix is said to be in reduced row echelon form if furthermore all of the leading coefficients are equal to 1 (which can be achieved by using the elementary row operation of type 2), and in every column containing a leading coefficient, all of the other entries in that column are zero (which can be achieved by using elementary row operations of type 3).
Question 6
Gaussian elimination is a name given to a well known method of solving simultaneous equation by successively eliminating _________.
A. Variables
B. Equations
C. Unknown
D. Algorithms
View Answer
Ans : C
Explanation: Gaussian elimination is an approach for solving equations type of Ax=B in matrix form. Gaussian elimination is a name given to a well known method of solving simultaneous equation by successively eliminating Unknowns.
Question 7
Step number in Gaussian elimination is denoted as ___________
A. Subscript
B. Superscript
C. Unknown
D. Elimination
View Answer
Ans : B
Explanation: Gaussian elimination is an algorithm for solving systems of linear equations. The idea at step 1 is to use equation 1 (first row) in eliminating x1 from remaining equations. We know the step numbers as superscript set in parentheses.
Question 8
A banded matrix is defined as ____________
A. Zero elements are contained in a band
B. Non zero elements are contained out of a band
C. Both Non zero elements and Zero elements
D. Non zero elements are contained in band
View Answer
Ans : D
Explanation: A band matrix is a sparse matrix whose non zero entries are confined to a diagonal band. In a banded matrix, all of the non zero elements are contained within a band; outside of the band all elements are zero.
Question 9
Frontal method is a _______ of Gaussian elimination method that uses the structure of finite element problem.
A. Structure
B. Variation
C. Algorithm
D. Data
View Answer
Ans : B
Explanation: Frontal method is a variation of Gaussian elimination method that uses the structure of finite element problem. Elements can be stored in-core in a clique sequence as recently proposed by areas, this subset is called front and it is essentially the transition region between the part of the system already finished.
Question 10
Using elementary row operations, a matrix can always be transformed into an upper triangular matrix.
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
View Answer
Ans : A
Explanation: Using elementary row operations, a matrix can always be transformed into an upper triangular matrix,and in fact one that is in row echelon form.