Skip to main content
Super TutorResources
Chapter 7 of 31
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Matrices

Telangana Open School (TOSS) · Class 12 · Mathematics

Quick revision notes for Matrices — Telangana Open School (TOSS) Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

44 questions38 flashcards4 concepts

Interactive on Super Tutor

Studying Matrices? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

1,000+ Class 12 students started this chapter today

Key Topics to Revise

1

Matrix Basics and Order

  • A matrix is a rectangular array of numbers arranged in rows and columns.
  • The order of a matrix is denoted as \( m imes n \), where \( m \) is the number of rows and \( n \) is the number of columns.
  • An element in the \( i^{th} \) row and \( j^{th} \) column is denoted by \( a_{ij} \).
2

Types of Matrices

  • Row Matrix: Only one row, e.g., \( [1\ 2\ 3] \).
  • Column Matrix: Only one column, e.g., \( \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} \).
  • Square Matrix: Number of rows equals number of columns.
3

Matrix Operations

  • Two matrices can be added only if they have the same order.
  • Matrix addition is commutative and associative.
  • Scalar multiplication involves multiplying every element by a constant.
4

Transpose, Symmetric and Skew-Symmetric Matrices

  • The transpose of a matrix \( A \), denoted \( A' \) or \( A^T \), is formed by interchanging its rows and columns.
  • A square matrix \( A \) is symmetric if \( A' = A \).
  • A square matrix \( A \) is skew-symmetric if \( A' = -A \).

Get complete notes with diagrams and examples

Full Notes

Key Concepts

A matrix is an ordered rectangularThere are several special typesTwo matrices of the same orderThe transpose of a matrix

Frequently Asked Questions

What are the important topics in Matrices for Telangana Open School (TOSS) Class 12 Mathematics?
Matrices covers several key topics that are frequently asked in Telangana Open School (TOSS) Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Matrices — Telangana Open School (TOSS) Class 12 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Matrices

All 31 chapters — Telangana Open School (TOSS) Class 12 Mathematics Revision Notes

For serious students

Get the full Matrices chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Telangana Open School (TOSS) Class 12 Mathematics.

Try Super Tutor Free
Try the full chapter — Free