Matrices and Determinoids, Vol. 1 (Classic Reprint) - Softcover

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Excerpt from Matrices and Determinoids

If m and n are unequal, either a vertical row contains more elements than a horizontal row, or a horizontal row contains more elements than a vertical row. Those rows, horizontal or vertical, which contain the greater number of elements will be called long rows, and the other rows will be called short rows. The number of long rows is equal to the efficiency of the matrix. In the special case in which m and n are equal the matrix will be called a square matrix. A square matrix has only one order, which is also its efficiency, and in it either set of parallel rows may be regarded as long rows.

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