NPTEL Deep Learning – IIT Ropar Week 5 Assignment Solutions

## NPTEL Deep Learning – IIT Ropar Week 5 Assignment Answer 2023

**1. Which of the following is a property of eigenvalues of a symmetric matrix?**

- Eigenvalues are always positive
- Eigenvalues are always real
- Eigenvalues are always negative
- Eigenvalues can be complex numbers with imaginary part non zero

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**2. What is the determinant of a matrix with eigenvalues λ1 and λ2?**

- λ1 + λ2
- λ1 – λ2
- λ1 * λ2
- λ1 / λ2

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**3. Which of the following is a measure of the amount of variance explained by a principal component in PCA?**

- Eigenvalue
- Covariance
- Correlation
- Mean absolute deviation

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**4. What is the mean of the given data points x1,x2,x3?**

- [3 3]
- [0 0]
- [1 1]
- [0.5 0.5]

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**6. The maximum eigenvalue of the covariance matrix C is:**

- 1/3
- 4/3
- 1/6
- 1/2

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**7. The eigenvector corresponding to the maximum eigenvalue of the given matrix C is:**

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**9. What is the covariance between height and weight in the given dataset?(Use the formula)**

- 121.2
- 89.6
- 62.6
- 74

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**10. What is the correlation between height and weight in the given dataset**

- 0.7
- 1
- 0.96
- 0.59

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Course Name | Deep Learning – IIT Ropar |

Category | NPTEL Assignment Answer |

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