MCQOPTIONS
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MCQOPTIONS
This section includes 3 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 vector for value of λ=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. \(\begin{bmatrix}-1\\1\\2\end{bmatrix}\) | |
| 2. |
Find the Eigen vector for value of λ=-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. \(\begin{bmatrix}-1\\-1\end{bmatrix}\) | |
| 3. |
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 | |