Difference between revisions of "Matrices"
From Robotics
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This article deals with some fundamental matrix features and the basic arithmetic operations. | This article deals with some fundamental matrix features and the basic arithmetic operations. | ||
− | Matrices can have arbitrary dimensions. A matrix with m rows and n colums is denoted as an | + | Matrices can have arbitrary dimensions. A matrix with m rows and n colums is denoted as an m-by-n matrix. In the context of robotics mainly 3-by-3 or 4-by-4 matrices are used. An example of a 3-by-3 matrix is: |
:<math> | :<math> | ||
\mathbf{A}=\left[ | \mathbf{A}=\left[ |
Revision as of 16:17, 21 May 2014
← Back: Cross product | Overview: Matrices | Next: Multiplication with a scalar → |
This article deals with some fundamental matrix features and the basic arithmetic operations.
Matrices can have arbitrary dimensions. A matrix with m rows and n colums is denoted as an m-by-n matrix. In the context of robotics mainly 3-by-3 or 4-by-4 matrices are used. An example of a 3-by-3 matrix is:
Individual colums and rows are often denoted as column vectors and row vectors. For the example matrix the column vectors are
and the row vectors are
In the following subarticles some basic arithmetic operations for matrices are described.