21 terms

column

all of the numbers in one vertical line in a matrix

dimension

the number of rows and the numbers of columns in a matrix

element

a number in a matrix

entry

another name for an element of a matrix

matrix

a rectangular array of numbers

row

all of the numbers in one horizontal line in a matrix

transpose

a related matrix formed by making the rows of a matrix into columns and the columns into rows

opposite of a matrix

the matrix composed of the opposites of each entry in a matrix

zero matrix

designated 0mxn, the m x n matrix, all of whose entries are 0

scalar

a number which can be used as an element of a matrix

identity matrix

a square matrix with ones in the main diagonal and zeros everywhere else

square matrix

a matrix which has equal numbers of rows and columns

elementary row operation

row switching, row multiplication, or row addition

row addition

adding a multiple of one row to another row of a matrix

row multiplication

multiplying a row of a matrix by a nonzero constant

row switching

interchanging two rows of a matrix

augmented matrix

a matrix formed by adding a column of the constant terms to the coefficient matrix of a linear system

coefficient matrix

a matrix formed from the coefficients of the variables of a system of linear equations

determinant

a number calculated from the entries in a square matrix that gives information about the matrix, including the nature of the solutions to a related system of linear equations

cramer's rule

a method of calculating the solution to a system of linear equations by finding the quotients of determinants

inverse

two matrices are inverses if their product is the identity matrix