Determinants — Revision Notes
MHT-CET · Mathematics
Quick revision notes for Determinants — key concepts, formulas, and definitions for MHT-CET Mathematics preparation.
Revision Notes — Determinants
Key concepts, formulas, and definitions from Determinants for MHT-CET Mathematics preparation.
Key Topics to Revise
Introduction to Determinants
- Determinant is a numerical value associated with every square matrix
- Denoted by |A|, det(A), or Δ (delta)
- Only defined for square matrices (n×n)
Properties of Determinants
- If two rows (or columns) are identical, determinant = 0
- Interchanging two rows (or columns) changes sign of determinant
- If one row (or column) is multiple of another, determinant = 0
Area of Triangle Using Determinants
- Area formula uses coordinates of three vertices
- Always take absolute value for area (positive quantity)
- If area = 0, points are collinear
Minors and Cofactors
- Minor Mᵢⱼ = determinant after removing ith row and jth column
- Cofactor Cᵢⱼ = (-1)^(i+j) × Mᵢⱼ
- Sign pattern alternates in checkerboard fashion
Get complete revision notes with diagrams and examples — continue in Super Tutor
Key Concepts
Get detailed revision notes for Determinants
Super Tutor gives you interactive content for every chapter of MHT-CET Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What topics are covered in Determinants for MHT-CET?
Determinants is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Introduction to Determinants, Properties of Determinants, Area of Triangle Using Determinants, Minors and Cofactors.
How important is Determinants for MHT-CET?
Determinants is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 58 practice questions available for this chapter.
How to prepare Determinants for MHT-CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.