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Determinants and matrices of order two and three Revision for JEE

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Revise Determinants and matrices of order two and three by covering every subtopic once, drilling formulas, then solving 5+ timed MCQs with full solutions.

Use this Determinants and matrices of order two and three revision checklist before mocks and the final exam. Reinforce concepts with 5+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Determinants and matrices of order two and three
  2. 2.Relates to other subtopics in Matrices and Determinants
  3. 3.Matrix operations and types
  4. 4.Determinant evaluation and properties
  5. 5.Master Determinants and matrices of order two and three definitions and standard results
  6. 6.Solve 20 timed MCQs for Determinants and matrices of order two and three

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 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:
Q2MathsUnit 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?
Q3MathsUnit 3: Matrices and Determinants
In a triangle ABC,A B C, with usual notations, if ∣1ab1ca1bc∣=0,\left|\begin{array}{ccc}1 & a & b \\ 1 & c & a \\ 1 & b & c\end{array}\right|=0, then 4sin⁡2A+4 \sin ^{2} A+ 24sin⁡2B+36sin⁡2C24 \sin ^{2} B+36 \sin ^{2} C is equal to
Q4MathsUnit 3: Matrices and Determinants
If DP=∣P158P2359P32510∣,D_{P}=\left|\begin{array}{ccc}\boldsymbol{P} & \mathbf{1 5} & \mathbf{8} \\ \boldsymbol{P}^{2} & \mathbf{3 5} & \mathbf{9} \\ \boldsymbol{P}^{3} & \mathbf{2 5} & \mathbf{1 0}\end{array}\right|, then D1+\boldsymbol{D}_{1}+ D2+D3+D4+D5D_{2}+D_{3}+D_{4}+D_{5} is equal to
Q5MathsUnit 3: Matrices and Determinants
Assertion Δ=sin⁡πcos⁡(x+π/4)tan⁡(x−sin⁡(x−π/4)−cos⁡(π/2)log⁡(xcot⁡(π/4+x)log⁡(y/x)tan⁡\begin{array}{ccc}\mathbf{\Delta}= & & \\ & \sin \pi & \cos (\boldsymbol{x}+\boldsymbol{\pi} / \mathbf{4}) & \tan (\boldsymbol{x}- \\ \sin (\boldsymbol{x}-\boldsymbol{\pi} / \mathbf{4}) & -\cos (\boldsymbol{\pi} / \mathbf{2}) & \log (\boldsymbol{x} \\ \cot (\boldsymbol{\pi} / \mathbf{4}+\boldsymbol{x}) & \log (\boldsymbol{y} / \boldsymbol{x}) & \tan \end{array} 0 Reason A skew symmetric determinant of odd order equals 0

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How should I revise Determinants and matrices of order two and three before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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