Skip to main content
Super TutorResources
Chapter 7 of 15
Syllabus

Determinants — Syllabus

Madhya Pradesh Board · Class 12 · Mathematics

What Determinants covers in Madhya Pradesh Board Class 12 Mathematics: 4 topics, for the 2026-27 session. Topics include Basics of Determinants, Expansion.

111 questions48 flashcards15 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Determinants? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

Free trial, no card needed.

An illustration showing a triangle with its vertices labeled, alongside the determinant formula used to calculate its area.
Super Tutor

One of 10 illustrations for Determinants in Super Tutor — alongside flashcards, concept maps and practice questions.

4 Topics · Madhya Pradesh Board Class 12 Mathematics · 2026-27

Topics in Determinants

1

1. Basics of Determinants

  • A determinant is associated only with a square matrix.
  • Only square matrices have determinants; rectangular matrices do not have determinants.
  • The notation |A|, det A, and Δ all mean determinant of A.
2

2. Expansion of a 3 × 3 Determinant

  • A determinant of order three can be expanded along any row or any column.
  • All six expansions give the same value.
  • For easier calculation, choose the row or column with maximum zeros.
3

3. Determinant Properties and Special Results

  • If A = kB for square matrices of order n, then |A| = k^n|B|.
  • This chapter uses determinants of order one, two, and three.
  • The determinant of a product is the product of determinants: |AB| = |A||B|.
4

4. Adjoint and Inverse of a Matrix

  • The adjoint of a square matrix is the transpose of the cofactor matrix.
  • For a 2 × 2 matrix, adj A is found by interchanging a11 and a22 and changing signs of a12 and a21.
  • The identity A(adj A) = (adj A)A = |A|I is fundamental.

Key Concepts

Central concept: Determinants and their applications in solving linear equations, finding area of a triangle, and studying adjoint and inverse of a matrix

DeterminantMinorCofactorAdjoint of a matrixSingular and non-singular matrixArea of a triangleSolving linear equationsHistorical development

Work through every topic in Determinants with notes and quizzes

Start This Chapter

Frequently Asked Questions

What are the important topics in Determinants for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Determinants include Basics of Determinants, Expansion of a 3 × 3 Determinant, Determinant Properties and Special Results, Adjoint and Inverse of a Matrix. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How should I revise Determinants for the Madhya Pradesh Board Class 12 board exam?
Learn the core ideas first, then work through the 111 practice questions on Determinants. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Determinants

All Madhya Pradesh Board Class 12 Mathematics Syllabus

For serious students

Get the full Determinants chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Madhya Pradesh Board Class 12 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free