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Chapter 5 of 27
Revision Notes

MatricesRevision Notes

OJEE · Mathematics

Free Matrices revision notes for OJEE Mathematics 2026 — key concepts, formulas, and definitions for quick revision.

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A visual representation of a matrix, clearly showing its elements, rows, columns, and how its order (m x n) is defined. Highlight the 'a_ij' notation for elements.
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Revision Notes — Matrices

Key concepts, formulas, and definitions from Matrices for OJEE Mathematics preparation.

Key Topics to Revise

1

Matrix Basics and Types

  • A matrix is an ordered rectangular array of numbers or functions arranged in rows and columns
  • Order of matrix: m×n means m rows and n columns
  • Matrix notation: A = [aᵢⱼ]ₘₓₙ where aᵢⱼ represents element in ith row and jth column
2

Matrix Operations - Addition and Subtraction

  • Matrix addition/subtraction is only possible for matrices of same order
  • Operations are performed element-wise
  • Addition is commutative and associative
3

Scalar Multiplication and Matrix Multiplication

  • Scalar multiplication: multiply every element by the scalar
  • Matrix multiplication: only possible when columns of first = rows of second
  • Matrix multiplication is NOT commutative in general
4

Transpose of Matrix

  • Transpose: rows become columns and columns become rows
  • Order changes from m×n to n×m
  • Transpose of transpose gives original matrix

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Key Concepts

A matrix is an ordered rectangularRow MatrixTwo matrices can be addedWhen a matrix A is multipliedTwo matrices A (m×n) and B

Frequently Asked Questions

What topics are covered in Matrices for OJEE?
Matrices is an important chapter in OJEE Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Matrix Basics and Types, Matrix Operations - Addition and Subtraction, Scalar Multiplication and Matrix Multiplication, Transpose of Matrix.
How important is Matrices for OJEE?
Matrices is a frequently tested chapter in OJEE Mathematics. Questions from this chapter appear regularly in previous year papers. There are 321 practice questions available for this chapter.
How to prepare Matrices for OJEE?
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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Practice questions, revision notes, formula sheet and AI doubt-solver for OJEE Mathematics.