MCQOPTIONS
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This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Linear Algebra knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the Eigen value and the Eigen Vector for the given matrix.A= ( begin{bmatrix}3&4&2 1&6&2 1&4&4 end{bmatrix} ). |
| A. | 3, ( begin{bmatrix}1 1 1 end{bmatrix} ) |
| B. | 9, ( begin{bmatrix}1 1 1 end{bmatrix} ) |
| C. | 9, ( begin{bmatrix}1 0 1 end{bmatrix} ) |
| D. | 2, ( begin{bmatrix}1 0 1 end{bmatrix} ) |
| Answer» C. 9, ( begin{bmatrix}1 0 1 end{bmatrix} ) | |
| 2. |
Find the Eigen vector for value of =3 for the given matrix.A= ( begin{bmatrix}3&10&5 -2&-3&-4 3&5&7 end{bmatrix} ). |
| A. | ( begin{bmatrix}-1 -1 2 end{bmatrix} ) |
| B. | ( begin{bmatrix}-1 1 2 end{bmatrix} ) |
| C. | ( begin{bmatrix}-1 -1 -2 end{bmatrix} ) |
| D. | ( begin{bmatrix}-1 -2 2 end{bmatrix} ) |
| Answer» B. ( begin{bmatrix}-1 1 2 end{bmatrix} ) | |
| 3. |
Find the Eigen vector for value of =-2 for the given matrix.A= ( begin{bmatrix}3&5 3&1 end{bmatrix} ). |
| A. | ( begin{bmatrix}0 -1 end{bmatrix} ) |
| B. | ( begin{bmatrix}1 -1 end{bmatrix} ) |
| C. | ( begin{bmatrix}-1 -1 end{bmatrix} ) |
| D. | ( begin{bmatrix}1 0 end{bmatrix} ) |
| Answer» C. ( begin{bmatrix}-1 -1 end{bmatrix} ) | |
| 4. |
Find the Eigenvalue for the given matrix.A= ( begin{bmatrix}4&1&3 1&3&1 2&0&5 end{bmatrix} ). |
| A. | 13 |
| B. | -3 |
| C. | 7.1 |
| D. | 8.3 |
| Answer» D. 8.3 | |
| 5. |
Find the Eigen values for the following 2 2 matrix.A= ( begin{bmatrix}1&8 2&1 end{bmatrix} ). |
| A. | -3 |
| B. | 2 |
| C. | 6 |
| D. | 4 |
| Answer» B. 2 | |