Pick up any odd book on linear algebra. Matrices, base changes, eigen-values will pop up. It is hard to appreciate why an intelligent person should spend hours and days, mastering these skills. Our excursion, begins with an attempt to understand that very thing:...

14th November 2019 8 PM. I.S.T. Online, Live Seminar Understand We will review major ideas from linear algebra with easy examples. It is part of our College Mathematics Program seminar sequence. Who may attend? There are 50 seats. The seminar itself is free and open...

Let P be a Sylow p- group of a finite group G and let H be a subgroup of G containing \( N_{G}(P) \) . Prove that \( H = N_{G}(H) \). Solution Let \( P \in Syl_{P}(G) \ and H \leq G \ such \ that \ N_{G}(P) \subset H \) Claim : Frattinis Argument : If G is a finite...