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This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Matrix Inversion knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Solve the system of equations by Jacobi’s iteration method. correct to two decimal places. |
| A. | x = 1.00, y = 2.95, z = 3.85 |
| B. | x = 1.96, y = 2.63, z = 3.99 |
| C. | x = 1.58, y = 2.70, z = 3.00 |
| D. | x = 1.23, y = 2.34, z = 3.45View Answer |
| Answer» E. | |
| 2. |
Solve the system of equations by Jacobi’s iteration method. |
| A. | x = 1, y = -1, z = 1 |
| B. | x = 2, y = 1, z = 0 |
| C. | x = 2, y = 1, z = 0 |
| D. | x = 1, y = 2, z = 1View Answer |
| Answer» B. x = 2, y = 1, z = 0 | |
| 3. |
Which of the following is another name for Jacobi’s method? |
| A. | Displacement method |
| B. | Simultaneous displacement method |
| C. | Simultaneous method |
| D. | Diagonal method |
| Answer» C. Simultaneous method | |
| 4. |
The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its main diagonal. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 5. |
How many assumptions are there in Jacobi’s method? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» B. 3 | |
| 6. |
Which of the following is an assumption of Jacobi’s method? |
| A. | The coefficient matrix has no zeros on its main diagonal |
| B. | The rate of convergence is quite slow compared with other methods |
| C. | Iteration involved in Jacobi’s method converges |
| D. | The coefficient matrix has zeroes on its main diagonal |
| Answer» B. The rate of convergence is quite slow compared with other methods | |
| 7. |
In Jacobi’s Method, the rate of convergence is quite ______ compared with other methods. |
| A. | Slow |
| B. | Fast |
| Answer» B. Fast | |
| 8. |
The Jacobi iteration converges, if A is strictly dominant. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 9. |
The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeroes along ________ |
| A. | Leading diagonal |
| B. | Last column |
| C. | Last row |
| D. | Non-leading diagonal |
| Answer» B. Last column | |