A linear operator is
a transformation of vectors in 2-space or 3-space which leaves intact sums
and scalar multiples of vectors. In this learning object, you'll
- See just what it means for a transformation of vectors to be a linear operator,
- Look at several examples of linear operators,
- Learn how to describe linear operators in coordinate systems,
- Look at linear operators which also leave metrical properties like lengths, distances and angles intact.
Prerequisites:
A basic knowledge of vector geometry and coordinate systems. An understanding
of matrix calculations, particularly matrix multiplication.
Keywords: linear operator, rotation,
reflection, projection, scale change, shear, standard matrix, matrix operator,
orthogonal operator, orthogonal matrix
 Linear
Operators on Geometric Vectors |
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| Introduction | Definition of a linear operator | Examples of linear operators | Linear operators in coordinates | Orthogonal linear operators |
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