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

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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