Difference between revisions of "Square matrix"

Latest revision as of 14:36, July 28, 2016

A square matrix is a matrix where both dimensions are the same. In other words, an $n\times m$ matrix is square if $n=m$ .

A Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n \times n} square matrix can be viewed as a linear transformation of n-dimensional space. For example a Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3 \times 3} matrix defines a transformation of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb{R}^3} .

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-A '''square matrix''' is a 2-dimensional [[matrix]] where both dimensions are the same. In other words, an ''n x m'' matrix is square if ''n=m''.
+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>.
-[[Category:Linear algebra]]
+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]]