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>. | 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>. |