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UQ-Linear Algebra
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1. Systems of equations
- Systems of linear equations
- Vector properties and basic operations
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2. Linear transformations
- Basic linear transformations
- Geometric properties of matrices
- Geometric interpretation of linear transformations
- Eigenvalues & Eigenvectors calculator
- Matrix transformations 3D
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3. Quadratic forms
- Activity: Quadratic forms
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UQ-Linear Algebra
Juan Carlos Ponce Campuzano, Nov 3, 2016
Table of Contents
- Systems of equations
- Systems of linear equations
- Vector properties and basic operations
- Linear transformations
- Basic linear transformations
- Geometric properties of matrices
- Geometric interpretation of linear transformations
- Eigenvalues & Eigenvectors calculator
- Matrix transformations 3D
- Quadratic forms
- Activity: Quadratic forms
Systems of linear equations
Basic linear transformations
Activity: Quadratic forms
Consider the quadratic equation of the form , where . Graphs of quadratic equations are known as conic sections. By means of a rotation of the plane about the origin, a translation of the plane, or both, it is possible to represent every conic in a simplified standard, or canonical, form.
With the following simulation you can observe the rotation and translation of the axes in order to put a conic in standard position. It also provides the equation of the conic in the final coordinate system.
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