Vandermonde Determinant and Factor Theorem | JEE 2027 Maths (English)

Free notes + solved JEE problems for this lesson: https://rankdeterminant.com/go/yt-mat... This chapter:    • Determinants | JEE Maths Unit 3, Chapter 2...   All lessons of this unit:    • JEE 2027 Maths | Unit 3 Matrices and Deter...   How to factorise a determinant without expanding it: the factor theorem trick (if x = a makes two rows equal, x minus a is a factor), the Vandermonde determinant (a-b)(b-c)(c-a), its family of standard results, the cyclic determinant and its minus sign, the x+a, b, c pattern, and two solved JEE-style problems including a trigonometric determinant equation. Chapters 0:00 Introduction 0:34 The factor theorem inside a determinant 1:33 Vandermonde, without expanding 2:57 More standard determinants 3:59 Patterns with x on the diagonal 4:40 Example 1: cyclic determinant of roots of x^3 + px + q = 0 5:34 Example 2: trigonometric determinant equation in theta 7:36 Quick revision: factor theorem, Vandermonde, cyclic A free JEE paper every day and a full JEE Main mock every Sunday: https://rankdeterminant.com/go/yt-dai... Mathematics · Unit 3 · Matrices & Determinants · Chapter 2 · Determinants #VandermondeDeterminant #JEEMaths #JEE2027 Narrated with a computer voice.