Matrices and Determinants
1.0 Introduction
1.0 Introduction
What is a Matrix?
A Set of $mn$ numbers (real or complex) arranged in a form of rectangular array having '$m$' horizontal lines(rows) and '$n$' vertical lines(columns) is called $m$x$n$ matrix.
An $m$x$n$ matrix is usually written as $$A = \left( {\begin{array}{c} {{a_{11}}}&{{a_{12}}}&{...}&{{a_{1n}}} \\ {{a_{21}}}&{{a_{22}}}&{...}&{{a_{2n}}} \\ {...}&{...}&{...}&{...} \\ {{a_{m1}}}&{{a_{m2}}}&{...}&{{a_{mn}}} \end{array}} \right) = {\left[ {{a_{ij}}} \right]_{m \times n}}$$ .
