USYD

Semester 2, 2016

Math1002 Linear Algebra Revision

40 pages

4,000 words

\$29.00

3

Description

Note: These are handwritten notes.

This is a revision summarised from 21 lectures
Topics Covered:
** VECTORS:
- Draw vectors
- Unit vectors
- Parallel vectors
- Cartesian form
- Length of a vector
- Linear independence of two vectors

** DOT PRODUCTS:
- Algebraic definition
- Geometric definition
- Cauchy Schwarz Inequality
- Dot product rules

** CROSS PRODUCTS:
- Algebraic definition
- Geometric definition
- Cross product rules

** LINES L:
- Parametric vector equation of L
- Parametric scalar equations of L
- Cartesian equation
- From point to lines

** PLANES P:
- Vector equation of a plane P
- Cartesian equation of a plane P
- From point to plane

** INTERSECTIONS:
- Point of intersection of a line and a plane
- Intersections of planes

** SYSTEMS OF LINEAR EQUATIONS:
- Row Echelon Form examples
- Reduced Row Echelon Form examples

** MATRICES:
- Addition, subtraction, scalar multiplication
- Powers of matrix
- Matrices and systems of operations
- Matrix inverses
- Manipulating matrix equations
- Determinants
- Eigenvalues and Eigenvectors
- Eigenspace
- Diagonalisation

Author

Jenny

Campus

USYD, Camperdown/Darlington

Member since

March 2015