Matrices and Vectors
ICSE · Class 11 · Artificial Intelligence
Complete topic list for Matrices and Vectors in ICSE Class 11 Artificial Intelligence. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Matrices and Vectors
1. Matrix Basics
- A matrix is a set of numbers arranged in rows and columns to form a rectangular array.
- The numbers inside a matrix are called elements or entries.
- The order of a matrix is written as rows × columns.
2. Types of Matrices
- Row matrix: a matrix consisting of only one row.
- Column matrix: a matrix consisting of only one column.
- Diagonal matrix: all non-diagonal elements are zero.
3. Matrix Operations
- Transpose flips the rows and columns of a matrix.
- Transpose is written using the superscript T, as A^T.
- Inverse is the matrix that gives the identity matrix when multiplied with the original matrix.
4. Matrix Arithmetic
- Two matrices of order m × n can be added only if they have the same order.
- Matrix addition is done by adding corresponding elements.
- The sum of two matrices of order m × n is again a matrix of order m × n.
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