## NPTEL Deep Learning – IIT Ropar Week 5 Assignment Answers 2024

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

- Covariance
- Correlation
- Mean absolute deviation
- Eigenvalue

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2. What is/are the limitations of PCA?

- It is computationally less efficient than autoencoders
- It can only reduce the dimensionality of a dataset by a fixed amount.
- It can only identify linear relationships in the data.
- It can be sensitive to outliers in the data.

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

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

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4.

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5. If we have a 12×12 matrix having entries from R, how many linearly independent eigenvectors corresponding to real eigenvalues are possible for this matrix?

- 10
- 24
- 12
- 6

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8. The maximum eigenvalue of the covariance matrix C is:

- 0.33
- 0.67
- 1
- 0.5

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9.

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10. What is the determinant of a 2×2 matrix that has eigenvalues of 4 and 5 ?

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