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Algebra — Revision Notes

CBSE · Class 12 · Applied Mathematics

Algebra revision notes for CBSE Class 12 Applied Mathematics: 4 topics in quick points. Part of the CBSE Class 12 Applied Mathematics syllabus.

47 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?
Key topics in Algebra include Matrices - Basic Concepts and Types, Matrix Operations - Addition, Subtraction, and Scalar Multiplication, Matrix Multiplication, Special Matrices - Transpose, Symmetric, and Skew-Symmetric. Study these first, then practise questions on each for the CBSE Class 12 board exam.
How should I revise Algebra for the CBSE Class 12 board exam?
Learn the core ideas first, then work through the 47 practice questions on Algebra. Revise 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.

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All CBSE Class 12 Applied Mathematics Revision Notes

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