Explore topic-wise MCQs in Finite Element Method.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Finite Element Method knowledge and support exam preparation. Choose a topic below to get started.

1.

\(\left[ \begin{array}{c c c r r r r}2 & -1 & 6 & 3 \\ 0 & 14 & 8 & 0 \\ 0 & 0 & 5 & 1 \\ 0 & 0 & 0 & 3\end{array}\right]\) is a _____

A. Principle diagonal matrix
B. Upper triangular matrix
C. Lower triangular matrix
D. Singular matrix
Answer» C. Lower triangular matrix
Discussion
2.

Det(A-λI)=0 is a ________

A. Characteristic equation
B. Matrix equation
C. Inversion of matrix
D. Cholesky’s equation
Answer» B. Matrix equation
Discussion
3.

A positive definite symmetric matrix A can be decomposed into form A=LLT this decomposition is called ________

A. Cholesky
B. Rayleighs
C. Galerkins
D. Potential energy
Answer» B. Rayleighs
Discussion
4.

A A-1=A-1A is a condition for ________

A. Singular matrix
B. Nonsingular matrix
C. Matrix inversion
D. Ad joint of matrix
Answer» D. Ad joint of matrix
Discussion
5.

A symmetric matrix is called ____________, if all its Eigen values are strictly positive i.e., greater than zero.

A. Negative definite
B. Positive definite
C. Co- definite
D. Alternative definite
Answer» C. Co- definite
Discussion
6.

The derivative of Ax with respect to variable xp is given by __________

A. \(\frac{d}{dx}\)(A x)=xp
B. \(\frac{d}{dx}\)(xp)=A x
C. ∫ A x=xp
D. ∫xp=Ax
Answer» B. \(\frac{d}{dx}\)(xp)=A x
Discussion
7.

(A B C)T = _______a) (C B

A. (C B A)T
B. BT CT AT
C. CT BT AT
D. AT BT CT
Answer» D. AT BT CT
Discussion
8.

Which of the following is a row vector?

A. \(\left[ \begin{array}{c c r } 0 & 1 & 2 \end{array}\right]\)
B. \(\left[ \begin{array}{c c r r} 0\\ 1 \\ 2\end{array}\right]\)
C. \(\left[ \begin{array}{c r} 0 & 1\\ 1 & 2\end{array}\right]\)
D. \(\left[ \begin{array}{c c r r} 0 & 3 & 6 \\ 1 & 8 & 4 \\ 0 & 5 & 7\end{array}\right]\)
Answer» B. \(\left[ \begin{array}{c c r r} 0\\ 1 \\ 2\end{array}\right]\)
Discussion
9.

What is a matrix?

A. Group of elements
B. Array of elements
C. Group of columns and rows
D. Array of numbers
Answer» C. Group of columns and rows
Discussion