Difference between revisions of "Square matrix"
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(Removing the reference to '2-dimensional matrix'. A matrix has two dimensions, the number of rows and the number of columns. What would 2 dimensional refer to?) |
(Adding comment about linear transformation and mathifying some of the equations.) |
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| − | A '''square matrix''' is a [[matrix]] where both dimensions are the same. In other words, an | + | A '''square matrix''' is a [[matrix]] where both dimensions are the same. In other words, an <math>n \times m</math> matrix is square if <math>n = m</math>. |
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| + | A <math>n \times n</math> square matrix can be viewed as a linear transformation of n-dimensional space. For example a <math>3 \times 3</math> matrix defines a transformation of <math>\mathbb{R}^3</math>. | ||
[[Category:Linear algebra]] | [[Category:Linear algebra]] | ||
Revision as of 15:39, January 16, 2009
A square matrix is a matrix where both dimensions are the same. In other words, an matrix is square if .
A square matrix can be viewed as a linear transformation of n-dimensional space. For example a matrix defines a transformation of .
