MCQOPTIONS
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MCQOPTIONS
This section includes 10 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. |
A= ( left[ begin{array}{c c r r}3 & 2 & 1 4 & 5 & -8 10 & 0 & 5 end{array} right] )Then det (A) = |
| A. | 120 |
| B. | -80 |
| C. | -175 |
| D. | 0 |
| Answer» D. 0 | |
| 2. |
( 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 | |
| 3. |
Det(A- I)=0 is a ________ |
| A. | Characteristic equation |
| B. | Matrix equation |
| C. | Inversion of matrix |
| D. | Cholesky s equation |
| Answer» B. Matrix equation | |
| 4. |
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 | |
| 5. |
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 | |
| 6. |
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 | |
| 7. |
The derivative of Ax with respect to variable xp is given by __________ |
| A. | ( frac{d}{dx} )(A x)=x<sub>p</sub> |
| B. | ( frac{d}{dx} )(x<sub>p</sub>)=A x |
| C. | A x=x<sub>p</sub> |
| D. | x<sub>p</sub>=Ax |
| Answer» B. ( frac{d}{dx} )(x<sub>p</sub>)=A x | |
| 8. |
(A B C)T = _______ |
| A. | (C B A)<sup>T</sup> |
| B. | B<sup>T</sup> C<sup>T</sup> A<sup>T</sup> |
| C. | C<sup>T</sup> B<sup>T</sup> A<sup>T</sup> |
| D. | A<sup>T</sup> B<sup>T</sup> C<sup>T</sup> |
| Answer» D. A<sup>T</sup> B<sup>T</sup> C<sup>T</sup> | |
| 9. |
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] ) | |
| 10. |
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 | |