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Matrices, algebra of matrices, type of matrices Revision for JEE

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Revise Matrices, algebra of matrices, type of matrices by covering every subtopic once, drilling formulas, then solving 13+ timed MCQs with full solutions.

Use this Matrices, algebra of matrices, type of matrices revision checklist before mocks and the final exam. Reinforce concepts with 13+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Matrices, algebra of matrices, type of matrices
  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 Matrices, algebra of matrices, type of matrices definitions and standard results
  6. 6.Solve 20 timed MCQs for Matrices, algebra of matrices, type of matrices

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 3: Matrices and Determinants
[000]\left[\begin{array}{lll}0 & 0 & 0\end{array}\right] is an example of
Q2MathsUnit 3: Matrices and Determinants
For any square matrix A,A+AT\boldsymbol{A}, \boldsymbol{A}+\boldsymbol{A}^{T} is
Q3MathsUnit 3: Matrices and Determinants
Assertion f[x1][10−23][x−5]=0,\mathbf{f}[\boldsymbol{x} \mathbf{1}]\left[\begin{array}{cc}\mathbf{1} & \mathbf{0} \\ -\mathbf{2} & \mathbf{3}\end{array}\right]\left[\begin{array}{c}\boldsymbol{x} \\ -\mathbf{5}\end{array}\right]=\mathbf{0}, then value of xx is either- 3 or 5 Reason Two matrices [xyuv]\left[\begin{array}{ll}\boldsymbol{x} & \boldsymbol{y} \\ \boldsymbol{u} & \boldsymbol{v}\end{array}\right] \& [abcd]\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{d}\end{array}\right] are equal if &\& only if their corresponding entries are equal \& only if their corresponding entries are equal
Q4MathsUnit 3: Matrices and Determinants
The matrix B\boldsymbol{B} is
Q5MathsUnit 3: Matrices and Determinants
A matrix consisting of a single column of m elements is know as
Q6MathsUnit 3: Matrices and Determinants
matrix is a square matrix in which all the elements other than the principal diagonal elements are zero.
Q7MathsUnit 3: Matrices and Determinants
If AA is a skew symmetric matrix of order 3, then the value of ∣A∣|\boldsymbol{A}| is
Q8MathsUnit 3: Matrices and Determinants
Suppose AA is any 3×33 \times 3 non-singular matrix and (A−3I)(A−5I)=O(\boldsymbol{A}-\mathbf{3} \boldsymbol{I})(\boldsymbol{A}-\mathbf{5} \boldsymbol{I})=\boldsymbol{O} where I=I3\boldsymbol{I}=\boldsymbol{I}_{3} and O=O3,\boldsymbol{O}=\boldsymbol{O}_{3}, If αA+\boldsymbol{\alpha} \boldsymbol{A}+ βA−1=4I,\beta A^{-1}=4 I, then α+β\alpha+\beta is equal to

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

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