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 number of elements in

Important types include null matrix

Important types include null matrix, row matrix, column matrix, square matrix, rectangular matrix, diagonal matrix, scalar matrix, identity matrix, up

Two matrices are equal only if

Two matrices are equal only if they have the same order and their corresponding elements are equal.

Matrix addition and subtraction are done

Matrix addition and subtraction are done element-wise and are defined only for matrices of the same order. Scalar multiplication multiplies every elem

If A is of order m

If A is of order m × n and B is of order n × p, then AB is of order m × p. The (i, j)th entry is the sum of products of the ith row of A and the jth c