Figure from the passage in the original paper Consider\ .\ Based on the above data, answer the given subquestions. Figure from the original question paper If\ is a symmetric matrix, consider statements P and Q. Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper •\ P: If\ is an eigenvalue of\ , then\ is a singular value of\ . Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper •\ Q: If\ is a singular value of\ , then\ is an eigenvalue of\ .\ Select the most appropriate option. Figure from the original question paper Hint: In the first sub-question,\ is symmetric, and you should first look at its eigenvalues, which will lead you to some observations. Are these observations true for any symmetric matrix?

Machine Learning Foundations · Quiz 2 · 23 Nov 2025 · September 2025 term

Question 11: If\ is a symmetric matrix, consider statements P and Q. …

Question 11

+3 marksOne correct option

Consider
.
Based on the above data, answer the given subquestions.

If
is a symmetric matrix, consider statements P and Q.

•
P: If
is an eigenvalue of
, then
is a singular value of
.

•
Q: If
is a singular value of
, then
is an eigenvalue of
.
Select the most appropriate option.

Hint: In the first sub-question,
is symmetric, and you should first look at its eigenvalues, which will lead you to some observations. Are these observations true for any symmetric matrix?

A
P is true, Q is false
B
Q is true, P is false
C
Both P and Q are true
D
Both P and Q are false

Show answer

Correct answer

D
Both P and Q are false

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Question 11 of 17 in the IIT Madras BS Machine Learning Foundations (MLF) Quiz 2 paper sat on 23 Nov 2025, in the September 2025 term (IIT M DIPLOMA AN EXAM QDD2 23 Nov 2025 NEW). It carries 3 marks.

Question 11: If\ is a symmetric matrix, consider statements P and Q. …

Question 11

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