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Mathematics · JEE

Matrices and Determinants Concepts for JEE

39+ syllabus-aligned questions available

Quick answer

Master Matrices and Determinants by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Matrices and Determinants before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Concept overview for Matrices and Determinants covering 6 JEE syllabus subtopics including Matrices, algebra of matrices, type of matrices, Determinants and matrices of order two and three, Evaluation of determinants.

Key points

  • Understand the definition and scope of Matrices, algebra of matrices, type of matrices in the JEE syllabus
  • Memorise key formulas and standard results linked to Matrices, algebra of matrices, type of matrices
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
  • Understand the definition and scope of Determinants and matrices of order two and three in the JEE syllabus
  • Memorise key formulas and standard results linked to Determinants and matrices of order two and three
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Matrices, algebra of matrices, type of matrices with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Matrices, algebra of matrices, type of matrices and reattempt after 48 hours
  • Revise Determinants and matrices of order two and three with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Determinants and matrices of order two and three and reattempt after 48 hours

Common trap

Students often rush Matrices, algebra of matrices, type of matrices questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

JEE Formula Sheet

62+ important formulas for Matrices and Determinants

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Subtopics in Matrices and Determinants

View Matrices and Determinants formula sheet — 62+ JEE formulas

Free sample questions

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Q1MathsUnit 3: Matrices and Determinants
STATEMENT 1: In a ΔABC,a,b,c\Delta A B C, a, b, c denotes lengths of the sides and ∣abcbcacab∣=0\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|=\mathbf{0} then the triangle is equilateral triangle. STATEMENT 2: Sum of three non- negative numbers =0⇒=0 \Rightarrow each number is zero.
Q2MathsUnit 3: Matrices and Determinants
If A=[11111+x1111+y]\boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1}+\boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}+\boldsymbol{y}\end{array}\right] for x≠\boldsymbol{x} \neq 0,y≠0,\mathbf{0}, \boldsymbol{y} \neq \mathbf{0}, then D\boldsymbol{D} is:
Q3MathsUnit 3: Matrices and Determinants
If 2a=b,2 a=b, the pair of equations ax+a x+ by=2a2−3b2,x+2y=2a−6bb y=2 a^{2}-3 b^{2}, x+2 y=2 a-6 b possess
Q4MathsUnit 3: Matrices and Determinants
The addition of two numbers is −72.-72 . If one number is thrice the another number. Find the greater number
Q5MathsUnit 3: Matrices and Determinants
Solve the following equations by substitution method. x=2y−1;y=2x−7\boldsymbol{x}=\mathbf{2} \boldsymbol{y}-\mathbf{1} ; \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{7}
Q6MathsUnit 3: Matrices and Determinants
[000]\left[\begin{array}{lll}0 & 0 & 0\end{array}\right] is an example of
Q7MathsUnit 3: Matrices and Determinants
Dashrath and Naresh are friends ,Naresh is 2 years younger than Dashrath.If the sum of their age is 56 years, find their present age.
Q8MathsUnit 3: Matrices and Determinants
Consider the following statements: 1. Determinant is a square matrix. 2. Determinant is a number associated with a square matrix. Which of the above statements is/are correct?

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Frequently asked questions

What concepts in Matrices and Determinants are essential for JEE?

Focus on core ideas across Matrices, algebra of matrices, type of matrices, Determinants and matrices of order two and three, Evaluation of determinants, Area of triangles using determinants, and more. JEE tests application, not just memorisation.

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