MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Numerical Methods knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the drawback of finding inverse by adjoint method? |
| A. | It needs a lot of calculations |
| B. | It gives incorrect answers |
| C. | It assumes certain values |
| D. | It is solved by approximating certain values |
| Answer» B. It gives incorrect answers | |
| 2. |
Non square matrices do not have inverse. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
Solve the following equation by matrix inversion. ( begin{pmatrix}2&3 10&16 end{pmatrix} ) ( begin{pmatrix}x y end{pmatrix} ) = ( begin{pmatrix}1 2 end{pmatrix} ) |
| A. | ( begin{pmatrix}8 -5 end{pmatrix} ) |
| B. | ( begin{pmatrix}5 -3 end{pmatrix} ) |
| C. | ( begin{pmatrix}6 -7 end{pmatrix} ) |
| D. | ( begin{pmatrix}9 -5 end{pmatrix} ) |
| Answer» C. ( begin{pmatrix}6 -7 end{pmatrix} ) | |
| 4. |
Find inverse of the following matrix? ( begin{bmatrix}1&-1&1 1&1&1 1&2&4 end{bmatrix} ) |
| A. | 1/6 ( begin{bmatrix}1&-1&1 1&1&1 1&2&4 end{bmatrix} ) |
| B. | 1/6 ( begin{bmatrix}1&1&1 5&-1&6 1&6&4 end{bmatrix} ) |
| C. | 1/6 ( begin{bmatrix}1&-1&1 8&1&6 1&2&4 end{bmatrix} ) |
| D. | 1/6 ( begin{bmatrix}1&1&1 0&-1&1 1&3&4 end{bmatrix} ) |
| Answer» B. 1/6 ( begin{bmatrix}1&1&1 5&-1&6 1&6&4 end{bmatrix} ) | |
| 5. |
Equations are linearly dependent, in a system of linear equations, if and only if? |
| A. | A<sup>-2</sup> must exists |
| B. | A<sup>-1</sup> does not exist |
| C. | A<sup>-3</sup> does not exist |
| D. | A<sup>-4</sup> must exist |
| Answer» C. A<sup>-3</sup> does not exist | |
| 6. |
Which of the following relation describes the solution of system of equation in form of AX = B? |
| A. | A<sup>-1</sup>AX = A<sup>-1</sup>B |
| B. | B<sup>-1</sup>AX = A<sup>-1</sup>B |
| C. | AB<sup>-1</sup>AX = AB<sup>-1</sup>X |
| D. | X<sup>-1</sup>AB = A<sup>-1</sup>BX |
| Answer» B. B<sup>-1</sup>AX = A<sup>-1</sup>B | |
| 7. |
Multiplicative inverse matrix generalized form to solve is which of the following? |
| A. | AA<sup>-1</sup> = A<sup>-1</sup>A = I |
| B. | AA<sup>-2</sup> = A<sup>-3</sup>A = I |
| C. | 3AA<sup>4</sup> = A<sup>-1</sup>A = I |
| D. | AA<sup>-1</sup> = 2A<sup>-5</sup>A = Q |
| Answer» B. AA<sup>-2</sup> = A<sup>-3</sup>A = I | |
| 8. |
Matrix which does not have an inverse by solving it, is classified as which of the following? |
| A. | unidentified matrix |
| B. | linear matrix |
| C. | non-singular matrix |
| D. | singular matrix |
| Answer» E. | |
| 9. |
Matrix inverse in for systems of equation is used to determine which of the following? |
| A. | identified set of equation |
| B. | variable set of equation |
| C. | solution set of equations |
| D. | constant set of equations |
| Answer» D. constant set of equations | |
| 10. |
The inverse of a matrix exists if and only if it is a non-singular matrix. |
| A. | True |
| B. | False |
| Answer» B. False | |