MCQOPTIONS
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MCQOPTIONS
This section includes 9 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. |
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. \(\begin{pmatrix}6\\-7\end{pmatrix}\) | |
| 3. |
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 \(\begin{bmatrix}1&1&1\\5&-1&6\\1&6&4\end{bmatrix}\) | |
| 4. |
Equations are linearly dependent, in a system of linear equations, if and only if? |
| A. | A-2 must exists |
| B. | A-1 does not exist |
| C. | A-3 does not exist |
| D. | A-4 must exist |
| Answer» C. A-3 does not exist | |
| 5. |
Which of the following relation describes the solution of system of equation in form of AX = B? |
| A. | A-1AX = A-1B |
| B. | B-1AX = A-1B |
| C. | AB-1AX = AB-1X |
| D. | X-1AB = A-1BX |
| Answer» B. B-1AX = A-1B | |
| 6. |
Multiplicative inverse matrix generalized form to solve is which of the following? |
| A. | AA-1 = A-1A = I |
| B. | AA-2 = A-3A = I |
| C. | 3AA4 = A-1A = I |
| D. | AA-1 = 2A-5A = Q |
| Answer» B. AA-2 = A-3A = I | |
| 7. |
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. | |
| 8. |
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 | |
| 9. |
The inverse of a matrix exists if and only if it is a non-singular matrix. |
| A. | True |
| B. | False |
| Answer» B. False | |