Matrices 1

Flashcards covering key concepts and definitions related to matrices, including order, elements, types, and real-world applications.

Matrix

A set of mn numbers arranged in a rectangular array of m rows and n columns is called an m × n matrix.

m x n Matrix

m represents the number of rows, and n represents the number of columns.

Elements of a matrix

Individual entries in the matrix, denoted as a_ij, where i is the row and j is the column.

Principal Diagonal

The diagonal elements of a square matrix, where the row number equals the column number (a11, a22, a_33, etc.).

Order of a Matrix

The dimensions of a matrix, specified as rows x columns (e.g., 3x2).

Total number of elements in a matrix

Calculated by multiplying the number of rows and columns (m * n).

Row Matrix

A matrix consisting of only one row (m = 1).

Column Matrix

A matrix having only one column (n = 1).

Horizontal Matrix

A matrix in which the number of rows is smaller than the number of columns (m < n).

Vertical Matrix

A matrix in which the number of rows is greater than the number of columns (m > n).

Rectangular Matrix

A matrix which is either horizontal or vertical (m ≠ n).

Square Matrix

A matrix in which the number of rows is equal to the number of columns (m = n).