MCQOPTIONS
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MCQOPTIONS
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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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. \(\left[ \begin{array}{c c r r} 0\\ 1 \\ 2\end{array}\right]\) | |
| 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 | |