Algebra
CBSE · Class 12 · Applied Mathematics
Complete topic list for Algebra in CBSE Class 12 Applied Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Algebra
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
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
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
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)
Key Concepts
Frequently Asked Questions
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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