Matrices
ICSE · Class 10 · Mathematics
Quick revision notes for Matrices — ICSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Basic Concepts and Definitions
- A matrix is an ordered rectangular array of numbers called elements or entries
- Elements are arranged in horizontal rows and vertical columns
- Matrices are denoted by capital letters (A, B, C, etc.)
Types of Matrices
- Row Matrix: Has only one row (order 1×n)
- Column Matrix: Has only one column (order m×1)
- Square Matrix: Number of rows equals number of columns (order n×n)
Matrix Equality
- Two matrices are equal if they have the same order
- Corresponding elements must be exactly equal: aij = bij for all i, j
- Order matters: A2×3 can never equal B3×2 even if they have same elements
Matrix Addition and Subtraction
- Only matrices of the same order can be added or subtracted
- Add/subtract corresponding elements: (A ± B)ij = aij ± bij
- Result matrix has the same order as the original matrices
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