MCQOPTIONS
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MCQOPTIONS
This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Numerical Analysis knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The reduced form of the Matrix in Gauss Elimination method is also called ____________ |
| A. | Column Echelon Form |
| B. | Row-Column Echelon Form |
| C. | Column-Row Echelon Form |
| D. | Row Echelon Form |
| Answer» E. | |
| 2. |
The Elimination process in Gauss Elimination method is also known as _____________ |
| A. | Forward Elimination |
| B. | Backward Elimination |
| C. | Sideways Elimination |
| D. | Crossways Elimination |
| Answer» B. Backward Elimination | |
| 3. |
The following information related the velocity and time of a vehicle. It governs a quadratic equation v(t)=at2+bt+c. Hence find the Matrix which represents the equation most accurately. |
| A. | \(\begin{bmatrix}176 & 14 & 1\\225 & 15 & 1\\400 & 20 & 1\\\end{bmatrix} \) \( \begin{bmatrix}a\\b\\c\\\end{bmatrix}\) = \( \begin{bmatrix}227.04\\362.78\\517.35\\\end{bmatrix} \) |
| B. | \(\begin{bmatrix}225 & 15 & 1\\400 & 20 & 1\\900 & 30 & 1\\\end{bmatrix} \) \( \begin{bmatrix}a\\b\\c\\\end{bmatrix}\) = \( \begin{bmatrix}362.78\\517.35\\602.97\\\end{bmatrix} \) |
| C. | \(\begin{bmatrix}0 & 0 & 1\\225 & 15 & 1\\400 & 20 & 1\\\end{bmatrix} \) \( \begin{bmatrix}a\\b\\c\\\end{bmatrix}\) = \( \begin{bmatrix}0\\362.78\\517.35\\\end{bmatrix} \) |
| D. | \(\begin{bmatrix}400 & 20 & 1\\900 & 30 & 1\\1225 & 35 & 1\\\end{bmatrix} \) \( \begin{bmatrix}a\\b\\c\\\end{bmatrix}\) = \( \begin{bmatrix}517.35\\602.97\\901.67\\\end{bmatrix} \) View Answer |
| Answer» C. \(\begin{bmatrix}0 & 0 & 1\\225 & 15 & 1\\400 & 20 & 1\\\end{bmatrix} \) \( \begin{bmatrix}a\\b\\c\\\end{bmatrix}\) = \( \begin{bmatrix}0\\362.78\\517.35\\\end{bmatrix} \) | |
| 4. |
In Gaussian elimination method, original equations are transformed by using _____________ |
| A. | Column operations |
| B. | Row Operations |
| C. | Mathematical Operations |
| D. | Subset Operation |
| Answer» C. Mathematical Operations | |
| 5. |
In which of the following both sides of equation are multiplied by non-zero constant? |
| A. | Gauss Elimination Method |
| B. | Gaussian Inconsistent procedure |
| C. | Gaussian consistent procedure |
| D. | Gaussian substitute procedure |
| Answer» B. Gaussian Inconsistent procedure | |
| 6. |
Division by zero during in Gaussian elimination of the set of equations [A] * [X]=[C] signifies the coefficient matrix [A] is ____________ |
| A. | Invertible |
| B. | Non Singular |
| C. | Not determinable to be singular or non singular |
| D. | Singular |
| Answer» D. Singular | |
| 7. |
The aim of elimination steps in Gauss elimination method is to reduce the coefficient matrix to ____________ |
| A. | diagonal |
| B. | identity |
| C. | lower triangular |
| D. | upper triangular |
| Answer» E. | |
| 8. |
Solve this system of equations and comment on the nature of the solution using Gauss Elimination method. |
| A. | Unique Solution |
| B. | No solution |
| C. | Infinitely many Solutions |
| D. | Finite solutionsView Answer |
| Answer» C. Infinitely many Solutions | |
| 9. |
The following system of equation has: |
| A. | Unique Solution |
| B. | No solution |
| C. | Infinitely many Solutions |
| D. | Finite solutionsView Answer |
| Answer» D. Finite solutionsView Answer | |
| 10. |
Solve the given system of equation by Gauss Elimination method. |
| A. | (-2, -1, -1) |
| B. | (-1, -2, -1) |
| C. | (-1, -1, -2) |
| D. | (-1, -1, -1)View Answer |
| Answer» E. | |
| 11. |
Find the values of x, y, z in the following system of equations by gauss Elimination Method. |
| A. | 2, 4, 6 |
| B. | 2, 7, 6 |
| C. | 3, 4, 6 |
| D. | 2, 4, 5View Answer |
| Answer» B. 2, 7, 6 | |
| 12. |
Solve the following equations by Gauss Elimination Method. |
| A. | x = 1.64791, y = 1.14085, z = 2.08451 |
| B. | x = 1.65791, y = 1.14185, z = 2.08441 |
| C. | x = 1.64691, y = 1.14095, z = 2.08461 |
| D. | x = 1.64491, y = 1.15085, z = 2.09451View Answer |
| Answer» B. x = 1.65791, y = 1.14185, z = 2.08441 | |