Chapter 7 of 27
Formula Sheet
Determinants — Formula Sheet
J&K CET · Mathematics
Free Determinants formula sheet for J&K CET Mathematics 2026 — all important formulas, equations, and constants for quick reference.
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Important formulas and equations from Determinants for J&K CET Mathematics.
Formulas — Determinants
Basic Definitions and Order Determinants
|A| = a (for 1×1 matrix A = [a])|A| = a₁₁a₂₂ - a₁₂a₂₁|A| = a₁₁(a₂₂a₃₃ - a₂₃a₃₂) - a₁₂(a₂₁a₃₃ - a₂₃a₃₁) + a₁₃(a₂₁a₃₂ - a₂₂a₃₁)|kA| = kⁿ|A|Properties of Determinants
|Aᵀ| = |A||AB| = |A| × |B||A⁻¹| = 1/|A|Area of Triangle Using Determinants
Area = (1/2)|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|Area = (1/2)|det([x₁ y₁ 1; x₂ y₂ 1; x₃ y₃ 1])|Adjoint and Inverse of Matrix
adj(A) = [Cᵢⱼ]ᵀA⁻¹ = (1/|A|) × adj(A)A × adj(A) = |A| × I|adj(A)| = |A|ⁿ⁻¹Get the complete formula sheet with derivations — continue in Super Tutor
Frequently Asked Questions
What topics are covered in Determinants for J&K CET?
Determinants is an important chapter in J&K 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 J&K CET?
Determinants is a frequently tested chapter in J&K CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 362 practice questions available for this chapter.
How to prepare Determinants for J&K 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.
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