21 terms

associative property

matrix multiplication has this property

column matrix

a matrix with dimensions m x 1

commutative property

matrix multiplication does not have this property

dimensions

numbers of rows by number of columns of a matrix (m x n)

determinant

a number associated with a square matrix

element

the terms or entries of a matrix

equal matrices

have the same dimensions with all corresponding elements identical

inverse matrix

a matrix that when multiplied by an original matrix yields the identity matrix as the result

matrix

a rectangular array of terms

matrix equation

consists of a coefficient matrix, a variable matrix, and a constant matrix; used to solve linear systems

singular matrix

a matrix with a determinant of 0 that has no inverse

square matrix

a matrix with an equal number of columns and rows

vertex-edge graph

collection of points and line segments connecting some (possibly empty) subset of the points

order of a matrix

number of rows/columns of a square matrix

identity matrix

square matrix consisting of all 0s with a main diagonal of 1s

matrix multiplication

a row by column operation where the inner dimensions must be the same

matrix addition

requires matrices of equal dimensions with corresponding elements being combined

row matrix

a matrix of dimensions 1 x n

scalar multiplication

the same number multiplies each entry in a matrix

transpose

to interchange the rows and columns of a matrix

zero matrix

the matrix that functions as the additive identity