Sylvester's law of inertia theorem

[@yunfan7034]

Hi Vinayaka Congruence matrix has the same signature (positive, negative and zero eigenvalues). For example matrix A is an symmetric matrix, A , PAP(transpose), QAQ(transpose) all have the same signature (positive, negative and zero eigenvalues). In this video, you prove M and L are congruence matrix. M can be KLK(transpose). You prove M , L have the same signature. In your example, M,L both are diagonal matrix. but if G= RLR(transpose), but G is not a diagonal matrix. How to prove G,L have same signature? Thank you

[@believeingodjesus]

Sir can you teach first sylow's theoren plzzzzzz

[@mirriyaz5906]

Sir please May I know author of this book?

[@vinayakagandadi3400]

I.N. Herstein

[@believeingodjesus]

Sir can you 🥺 share the book pdf ...... please.....plzzzzzzz through youtube for reference

[@vinayakagandadi3400]

www.google.co.in/url?sa=t&source=web&rct=j&url=marinazahara22.files.wordpress.com/2013/10/i-n-herstein-topics-in-algebra-2nd-edition-1975-wiley-international-editions-john-wiley-and-sons-wie-1975.pdf&ved=2ahUKEwip05W6-sf0AhUhslYBHWcVA5UQFnoECDIQAQ&usg=AOvVaw2dcUS1FoIIL5bIMhH1gy1q

[@believeingodjesus]

@@vinayakagandadi3400 tq soooooo much sir