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This section includes 11 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 following equation by Gauss Seidal Method up to 3 iterations and find the value of x. |
| A. | x=11.11 |
| B. | x=13.28 |
| C. | x=11.51 |
| D. | x=9.86View Answer |
| Answer» D. x=9.86View Answer | |
| 2. |
Solve the following equation by Gauss Seidal Method up to 2 iterations and find the value of z. |
| A. | 1.88 |
| B. | 1.22 |
| C. | 0 |
| D. | 1.92View Answer |
| Answer» E. | |
| 3. |
Solve the following equations by Gauss seidal method. |
| A. | a = 1, b = 5, c = 7, d = -1 |
| B. | a = 1, b = 2, c = 3, d = 0 |
| C. | a = 2, b = 5, c = 3, d = 5 |
| D. | a = 2, b = 2, c = 8, d = -3View Answer |
| Answer» C. a = 2, b = 5, c = 3, d = 5 | |
| 4. |
What is the limitation of Gauss-seidal method? |
| A. | It cannot be used for the matrices with non-zero diagonal elements |
| B. | It is more complex than Jacobi’s method |
| C. | It doesn’t guarantees convergence for each and every matrix |
| D. | It is an iterative technique |
| Answer» D. It is an iterative technique | |
| 5. |
Which of the following method is employed for solving the system of linear equations? |
| A. | Runge Kutta |
| B. | Newton Raphson |
| C. | Gauss Seidal |
| D. | Simpson’s Rule |
| Answer» E. | |
| 6. |
Gauss seidal requires less number of iterations than Jacobi’s method. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 7. |
The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric________ definite matrices. |
| A. | Positive |
| B. | Negative |
| C. | Zero |
| D. | Equal |
| Answer» B. Negative | |
| 8. |
While solving by Gauss Seidal method, which of the following is the first Iterative solution system; x – 2y = 1 and x + 4y = 4? |
| A. | (1, 0.75) |
| B. | (0.25,1) |
| C. | (0,0) |
| D. | (1,0.65) |
| Answer» B. (0.25,1) | |
| 9. |
What is the main difference between Jacobi’s and Gauss-seidal? |
| A. | Computations in Jacobi’s can be done in parallel but not in Gauss-seidal |
| B. | Convergence in Jacobi’s method is faster |
| C. | Gauss seidal cannot solve the system of linear equations in three variables whereas Jacobi cannot |
| D. | Deviation from the correct answer is more in gauss seidal |
| Answer» B. Convergence in Jacobi’s method is faster | |
| 10. |
Gauss seidal method is similar to which of the following methods? |
| A. | Iteration method |
| B. | Newton Raphson method |
| C. | Jacobi’s method |
| D. | Regula-Falsi method |
| Answer» D. Regula-Falsi method | |
| 11. |
Gauss Seidal method is also termed as a method of _______ |
| A. | Successive displacement |
| B. | Eliminations |
| C. | False positions |
| D. | Iterations |
| Answer» B. Eliminations | |