Mathematics · JEE

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

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

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Concept explainer

Matrices, algebra of matrices, type of matrices is a core JEE Main Mathematics subtopic under Matrices and Determinants. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

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

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

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.

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 3: Matrices and Determinants

\left[\begin{array}{lll}0 & 0 & 0\end{array}\right]

is an example of

Q2MathsUnit 3: Matrices and Determinants

For any square matrix

\boldsymbol{A}, \boldsymbol{A}+\boldsymbol{A}^{T}

Q3MathsUnit 3: Matrices and Determinants

Assertion

\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

x

is either- 3 or 5 Reason Two matrices

\left[\begin{array}{ll}\boldsymbol{x} & \boldsymbol{y} \\ \boldsymbol{u} & \boldsymbol{v}\end{array}\right]

\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

\boldsymbol{B}

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

A

is a skew symmetric matrix of order 3, then the value of

|\boldsymbol{A}|

Q8MathsUnit 3: Matrices and Determinants

Suppose

A

is any

3 \times 3

non-singular matrix and

(\boldsymbol{A}-\mathbf{3} \boldsymbol{I})(\boldsymbol{A}-\mathbf{5} \boldsymbol{I})=\boldsymbol{O}

where

\boldsymbol{I}=\boldsymbol{I}_{3}

and

\boldsymbol{O}=\boldsymbol{O}_{3},

\boldsymbol{\alpha} \boldsymbol{A}+

\beta A^{-1}=4 I,

then

\alpha+\beta

is equal to

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Frequently asked questions

What concepts in Matrices, algebra of matrices, type of matrices are essential for JEE?

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