Alg. 2 Extra Credit Ch. 4
Terms in this set (23)
The location of any entry in a matrix, given by the row and column in which the entry appears. In matrix A, the address of the entry in row i and column j is aij
A matrix that consists of the coefficients and the constant terms in a system of linear equations.
The matrix of the coefficients of the variables in a linear system of equations
The matrix of the constants in a linear system of equations.
A method of solving systems of linear equations by using determinants
A real number associated with a square matrix.
A matrix with m rows and n columns has dimensions mxn, read m by n
Each value in a matrix also called an element
The diagonal from the upper left corner to the lower right corner of a matrix
A rectangular array of numbers
An equation of the from AX=B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix of a system of equations.
The product of two matrices, where each entry in Pij is the sum of the products of consecutive entries in row i in matrix a and column j in matrix b
multiplicative identity matrix
A square matrix with 1 in every entry of the main diagonal and 0 in every other entry
multiplicative inverse matrix
The multiplicative invers of square matrix A, if it exists, is notated A-1s, where the product of A is A-1is the identity matrix
reduce row-echelon form
A form of an augmented matrix in which the coefficient columns form an identity matrix.
A matrix used to reflect a figure across a specified line of symmetry
A matrix used to rotate a figure about the origin.
An operations performed on a row of an augmented matrix that creates an equivalent matrix.
The process of performing elementary row operations on an augmented matrix to transform the matrix to reduced row echelon form
A number that is multiplied by a matrix
A matrix with the same number of rows as columns
A matrix used to translate points on the coordinate plane
The matrix of the variables in a linear system of equations
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