Register

TIFR Mathematics 2025 | Part A | Question: 2

• edited by
408 views

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
Answer:
← Previous · TIFR Mathematics 202...Next → · TIFR Mathematics 202...
← Previous in category · TIFR Mathematics 202...Next in category → · TIFR CSE 2025 | Part...
Position:
Show:

Related questions

1 1 vote
0 0 answers
226
226 views
Shubham Sharma 2 asked Jun 16, 2025
226 views
TIFR Mathematics 2025 | Part A | Question: 13
Consider the following statements:Any linear map $\mathbb{R}^{3} \rightarrow \mathbb{R}^{3}$ has a one-dimensional invariant subspace.Any linear map $\mathbb{R}^{3} \righ...
1 1 vote
1 1 answer
314
314 views
Shubham Sharma 2 asked Jun 16, 2025
314 views
TIFR Mathematics 2025 | Part A | Question: 14
Consider the following statements:For any linear map $T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3}$ with a two-dimensional kernel, the trace of $T$ is an eigenvalue of $T...
0 0 votes
0 0 answers
190
190 views
Shubham Sharma 2 asked Jun 16, 2025
190 views
TIFR Mathematics 2025 | Part B | Question: 9
Let $T$ be an endomorphism of a finite dimensional real vector space $V$, and let $W$ denote the image of $T$. Let $T^{\prime}$ denote the restriction of $T$ to $W$. Then...
1 1 vote
1 1 answer
240
240 views
Shubham Sharma 2 asked Jun 16, 2025
240 views
TIFR Mathematics 2025 | Part B | Question: 12
Given any linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$, there exist linear transformations $T_{1}, T_{2}: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2...