Lecture-16| GL(n,IR) forms a non-abelian group w.r.t. matrix multiplication | Group Theory

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This video contains detailed explanation of the question stated as:-
"Show that the set of all non singular n×n matrices with their elements as real numbers i.e. GL(n,IR) forms a non abelian group with respect to matrix multiplication. "
#general_linear_group #special_linear_group
#order #orderofGroup #orderofelement #finiteorder #infiniteorder #finiteelement
#groupoid #quasigroup #semigroup #monoid #cuberootofunity #group #abeliangroup #composition #compostiontable #multiplicativeidentity #additiveidentity #inverse #multiplicativeinverse #additiveinverse #algebraicstructure #structure
#associative #commutative #binaryoperation #binary #cartesianproduct #relation #function #grouptheory #highermaths #upsc #csirnet #jrf #tifr #tifrmaths #nbhm #uppsc
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Lecture on definition of quasi group(groupoid), Semigroup, Monoid, Group and abelian group:-
• Lecture-4|Definition o...
Lecture on Algebraic Structure:-
• Lecture-3|Algebraic St...
Lecture on Associative and commutative binary operations:-
• Lecture-2|Associative ...
Lecture on Binary Operations:-
• Lecture-1|Binary Opera...
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Group theory playlist:-
• Group Theory (Examples...
Real analysis(countability of sets) playlist:-
• Playlist
Metric Space playlist:-
• Metric Spaces
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[@antarsinghthakur1975]

Nice lecture ❤