Chapter 7 of 27
Formula Sheet
Determinants — Formula Sheet
CUET (UG) · Mathematics
Free Determinants formula sheet for CUET (UG) Mathematics 2026 — all important formulas, equations, and constants for quick reference.
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Important formulas and equations from Determinants for CUET (UG) 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 CUET (UG)?
Determinants is an important chapter in CUET (UG) 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 CUET (UG)?
Determinants is a frequently tested chapter in CUET (UG) 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 CUET (UG)?
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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