Matrices — Chapter Summary

A matrix is an ordered rectangular

A matrix is an ordered rectangular array of numbers or functions. If a matrix has m rows and n columns, its order is m×n. The element in the ith row a

Important forms include column matrix

Important forms include column matrix, row matrix, square matrix, diagonal matrix, scalar matrix, identity matrix, and zero matrix. A square matrix ha

Two matrices are equal only if

Two matrices are equal only if they have the same order and all corresponding entries are equal.

Addition is defined only for matrices

Addition is defined only for matrices of the same order and is done entry by entry. Subtraction is defined through addition of the negative matrix. Sc

The product AB is defined only

The product AB is defined only when the number of columns of A equals the number of rows of B. If A is m×n and B is n×p, then AB is m×p. Each entry is