Set of matrices is a non commutative ring with unity | Finding units of the rings | Ring Example

🔍🔄 Matrices as a Non-Commutative Ring with Unity | Exploring Ring Units & Examples | Ring Theory | Lecture 🎓💍
Dive into the intriguing world of matrices in this insightful Ring Theory lecture. Explore how the set of matrices forms a non-commutative ring with unity, and unravel the concept of units within this fascinating ring structure.
📘✨ Session Highlights:
Understanding Matrix Rings: Explore how the set of matrices constitutes a non-commutative ring with unity.
Exploring Ring Units: Delve into the concept of units within the realm of matrices as a ring.
Practical Ring Examples: Illustrative examples showcasing the properties of matrices as a ring structure.
💡 Key Insights Covered:
Ring Structure Definition: Understand the fundamental characteristics that classify matrices as a non-commutative ring with unity.
Unit Elements in Rings: Explore the significance of unit elements within the context of matrix rings.
Matrix Ring Examples: Examine practical examples elucidating the properties of matrices as a ring structure.
🔍🎓 Why Attend this Lecture?
Comprehensive Matrix Exploration: Gain insights into the unique properties of matrices as a non-commutative ring with unity.
Understanding Ring Units: Explore the concept of units and their role within matrix rings.
Practical Ring Examples: Witness illustrative examples demonstrating the properties of matrices as a ring structure.
▶️ Watch Now:
Dive into the distinctive characteristics of matrices as a non-commutative ring with unity and explore the concept of ring units in this specialized Ring Theory lecture.
Reference book link:🔗drive.google.com/drive/folder...
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👉 Group theory : • group theory
👉 RING THEORY : • Ring Theory | Unit2 Se...
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🔍📈 Exploring Matrix Rings:
Uncover the unique properties and examples of matrices as a non-commutative ring with unity through this insightful Ring Theory session!
#MatrixRings #RingTheory #MathematicsEducation #RingUnits #MatrixExamples #NonCommutativeRing

[@shaktitadgonda2158]

Sagar Sir Rocks!!🔥🔥

[@benson_ndungu]

Awesome video and good explanations ,Will watch the whole unit

[@gopalsaw6215]

sir everything was well and a very smooth explanation. I understood everything

[@shaktitadgonda2158]

It was a great revision of the whole topic, and the handwriting was understable sir don't worry about that... Keep making them

[@scienceandtechnologylab]

thank you so much sir!!! its helful video specially that units property U(M(2,R))=GL(2,R)

[@vedantpatil8316]

SIR thankyou for making videos for us.it was really helpful.

[@Panda_parade]

Nice teaching sir 👍

[@manlalofi]

(M2(Z), +, ·) is noncommutative ring with unity ?

[@sagar_jagad]

Yes.

[@manlalofi]

@@sagar_jagadhow can I explain that ?

[@sagar_jagad]

Use same proof in video on the place of R write Z.

[@manlalofi]

@@sagar_jagad thank you .

[@manlalofi]

ياليت لو كان الشرح بالعربي 🥹

[@sagar_jagad]

Sorry I don't know Arabic. But my English is simple enough to understand I think. And mathematics is its own language.

[@pakistanisandhu3154]

A non commutative ring without unity py video bna dyn plzzz

[@sagar_jagad]

2 by 2 matrices over real number with first row as zero will be an simple example of non commutative ring without unity. Try to prove this and if u don't get let me know I will prove it for u ...

[@pakistanisandhu3154]

@@sagar_jagad sir ap kar dyn solve

[@sagar_jagad]

Ohhhk ... Will record and share the video by this Sunday .

[@pakistanisandhu3154]

@@sagar_jagad thank you sir 🙂

[@sagar_jagad]

Ur wish is completed here is the recording of the proof of non-commutative ring without unity: kzbin.info/www/bejne/j4GckJltos6mfs0 This is from my channel Friendtor. If u like and understand the proof don't forget to share and subscribe to channel and let this knowledge reach to more students in need.