Matrices and discrete maths
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This document includes:
- What are matrices (including: tables to matrices, defining a matrix, and matrix equality)
- Calculating with matrices (including: addition, subtraction and multiplication)
- Some special matrices (including: the identity matrix and the inverse matrix)
- Solving matrix equations
- Real world problems
A more detailed list of topics is also available: B6: Matrices – contents.
This document includes:
- Describing points in space (including: rectangular coordinates, polar coordinates, and vectors)
- Describing straight lines (including: equations of a straight line, distance between points and mid-point of a line)
- Describing other curves (including circles)
- Transformations (including: transforming points, straight lines, parabolas, circles and other curves)
A more detailed list of topics is also available: Analytical geometry – contents.
This document includes:
- Introduction
- Matrix representation of data
- Addition and subtraction of matrices
- Multiplication of a matrix by a scalar
- Multiplication of a matrix by a vector
- Multiplication of two matrices
- Special matrices
- Linear equations in matrix form
- Solution of a system of linear equations by row reduction
- Solution of linear equations using the inverse of the coefficient matrix
- Inverse matrices
- Determinant of a square matrix
A more detailed list of topics is also available: D3: Matrices – contents.
This document includes:
- Factorials
- Binomial theorem
- Sequence and series
- Mathematical induction
A more detailed list of topics is also available: Discrete mathematics – contents.