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Algebra

CBSE · Class 12 · Applied Mathematics

Quick revision notes for Algebra — CBSE Class 12 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.

51 questions20 flashcards5 concepts

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Key Topics to Revise

1

Matrices - Basic Concepts and Types

  • A matrix is a rectangular array of numbers arranged in rows and columns
  • Matrix A of order m×n has m rows and n columns, written as A = [aij]
  • Element aij represents the element in ith row and jth column
2

Matrix Operations - Addition, Subtraction, and Scalar Multiplication

  • Matrices can be added/subtracted only if they have the same order
  • Addition/subtraction is performed element-wise
  • Scalar multiplication involves multiplying each element by the scalar
3

Matrix Multiplication

  • Matrix multiplication AB is possible only if columns in A = rows in B
  • If A is m×n and B is n×p, then AB is m×p
  • Element (AB)ij = sum of products of ith row of A with jth column of B
4

Special Matrices - Transpose, Symmetric, and Skew-Symmetric

  • Transpose A' is obtained by interchanging rows and columns of A
  • If A is m×n, then A' is n×m
  • A matrix A is symmetric if A' = A (only for square matrices)

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Full Notes

Key Concepts

A matrix is a rectangular arrayAddition and subtraction require matricesThe transpose A' of matrixA symmetric matrix satisfies A' =For a square matrix

Frequently Asked Questions

What are the important topics in Algebra for CBSE Class 12 Applied Mathematics?
Algebra covers several key topics that are frequently asked in CBSE 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 Algebra — CBSE Class 12 Applied Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

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

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