Matrices and Vectors — Chapter Summary

A matrix is a set

A matrix is a set of numbers arranged in rows and columns to form a rectangular array. Its order is written as rows × columns. The element in the ith

A square matrix has the same

A square matrix has the same number of rows and columns. It is said to be of order n when it has n rows and n columns.

Common types include row matrix

Common types include row matrix, column matrix, diagonal matrix, scalar matrix, identity matrix, upper triangular matrix, and lower triangular matrix.

Transpose of a matrix creates

Transpose of a matrix creates a new matrix by flipping rows into columns and columns into rows. It is denoted by A^T.

Matrix inversion finds another matrix B

Matrix inversion finds another matrix B such that AB = BA = I^n. Matrices cannot be divided; only addition, subtraction, multiplication, and inversion