Matrix

Materials

The body constituent of a composite or two-phase alloy that completely surrounds the dispersed phase and gives the body its bulk form.

Mathematics

A rectangular array of elements. The dimensions of a matrix are often written as m x n. Where m is the number of rows and n the number of columns.

Examples

2 x 2 matrix, also known as a square matrix

2 x 3 matrix

4 x 2 matrix

If we have a matrix

each element of the matrix may be referenced using the notation A_i,j

i is the row and j is the column

Then

A_1,1 = 3, A_2,3 = 1, A_3,4 = 56

See also: Alloy, Defective Matrix, Diagonal Matrix, Eigenvector of a Matrix, Elementary Matrix, Hankel Matrix, Inverse of a Matrix, Invertible Matrix, Jordan Matrix, Nonsingular Matrix, Orthogonal Matrix, Row Equivalent Matrices, Singular Matrix, Symmetric Matrix, Toeplitz Matrix, Trace.

Further reading:
• Matrices: Theory and Applications (Graduate Texts in Mathematics), Denis Serre, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG