Matrices

S. N. Afriat
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S. N. Afriat: University of Siena

Chapter 1 in Linear Dependence, 2000, pp 9-22 from Springer

Abstract: Abstract The matrices of order m Ç n over a field K are denoted $$K_{n}^{m}$$ Any matrix $$a \in K_{n}^{m}$$ has elements $${{a}_{{ij}}} \in K\left( {i = 1, \cdots ,m;j = 1, \cdots ,n} \right)$$ ordered in a rectangular array with m rows and n columns, m being the row order and n the column order of an m Ç n matrix. The array of elements defines the matrix, so $$a = \left[ {\begin{array}{*{20}{c}} {{{a}_{{11}}} \cdots {{a}_{{1n}}}} \\ { \cdots \cdots \cdots } \\ {{{a}_{{m1}}} \cdots {{a}_{{mn}}}} \\ \end{array} } \right]$$

Date: 2000
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DOI: 10.1007/978-1-4615-4273-5_2

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