Part B| Open, Closed & Compact Sets in Matrix Space | CSIR NET June 2026| Question ID 458908757
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Part B| Open, Closed & Compact Sets in Matrix Space | CSIR NET June 2026| Question ID 458908757
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Maths Lover
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In this video, we solve Question ID 458908757 from the CSIR-NET Mathematical Sciences June 2026 examination.
अगर आपको भी क्लोज्ड सेट ओपन सेट पहचानने में मुश्किल हो रही है, तो जरूर देखें यह वीडियो💯💥
If you find it difficult to identify open and closed sets, then you must watch this.👇
• Open और Closed Set को कैसे पहचानें|Simples...
The question involves the set
and asks whether the set is compact, connected, closed, or open.
This is an important question from Topology / Metric Spaces / Linear Algebra because it tests your understanding of how a trace function behaves as a continuous function on the space of real matrices.
🎯 In this video, you will learn:
How to simplify the trace condition
How to view a finite-dimensional real vector space
Why the trace function is continuous
How inverse images of open/closed sets are used
How to quickly identify whether the given set is open or closed
Why compactness and connectedness are not the correct choices
A useful strategy for solving similar CSIR NET questions quickly
📚 Exam: CSIR-NET Mathematical Sciences
📅 Session: June 2026
📝 Part: B
🔢 Question ID: 458908757
🎓 Topic: Topology / Metric Spaces / Continuity / Matrix Space
If you are preparing for CSIR NET Mathematical Sciences, GATE Mathematics, NBHM, or other mathematics entrance/eligibility examinations, this type of conceptual question is extremely useful for building speed and accuracy.
👍 If this solution helps you, LIKE the video, SHARE it with your friends, and SUBSCRIBE to Maths Lover for more CSIR NET Mathematical Sciences questions and solutions.
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Question ID 458908757