17 terms

Matrix

a rectangular array of #s enclosed in brackets

dimensions

the size of a matrix rows by columns

entry

a value in a matrix

address

the location of an entry in a matrix

scaler

a # that is multiplied by a matrix

matrix product

the prodct of 2 or more matrices

main diagonal

in a square matrix, the diagonal from the upper left corner to the lower right corner

multiplicative identity matrix

any square matrix, that hs all the entries in the main diagonal equal to 1 and all other entries equal to 0

determinat

in a 2by2 matrix, the diff of the products of the diagonals

inverse matrix

in a square matrix, the produckt of A is the indeitty matrix

coefficient matrix

a matrix that contains the coefficients for the cariables in a system of equaltions

constant matrix

a matrix that contains the constats is asystme of equaltions

matrix equation

AX=B where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix

augmentde matrix

the coeffcients and constant term in a system of equations

row operation

and operation formed on a row of an augmented matrix that creates and equivalent matrix

ro reduction

the process of performing elementary row operations on an augmented matrix to solve a system

reduced rowechelon form

a form of an augmented matrix in whcih the coeffients columns form an indentity matrix