matrix+vocabulary


 * matrix-**a rectangular array of numeric and algebraic quantities subject to mathematical operations


 * element of a matrix**-one of the entries in a matrix.the address of a element is given by listing the row number and then the column number


 * row**-horizontal set of numbers in a matrix


 * column**-the vertical set of numbers in a matrix


 * coeifficent matrix**-the matrix formed by the coeifficents in linear systems of equations


 * augmented matrix**-a matrix form of a linear system of equations obtained from the coeifficent matrix.it is created by adding an additional column for the constants on the right of the equal signs.the new column is set apart by a vertical line


 * deminsions of a matrix**-the number of rows and columns of a matrix, written as rows*columns.


 * square matrix**-a matrix with equal numbers of rows and columns.


 * row operations**-used to transform matricies:trading two rows multioplying a row by a nonzero scalar, or adding a scalar multiple of one row to another


 * row reduction**-the process of using row operations to transform a matrix into either row-echelon or reduced row-echelon form

row-echelon form-a matrix form used when solving linear systems of equations

gaussian elimination-a method solving linear systems of equations.this is done by transforming the system's augmented matrix into row-echelonform by means of row operation.this system is solved by back-substitutiion

main diagonal-the elements of a matrix starting in the upper left corner and proceeding down to the right

diagonal matrix-a square matrix which has zeros everywhere other than the main diagonal.entries on the main diagonal may be any number,including zero

identity matrix-a square matrix which has 1 for each element on the main diagonal and 0 for the other elements

matrix addition-matricies are added term-by-term

matrix subtraction-matricies are subtracted term-by-term

matrix multiplication-matriceis are not multiplied unless their deminsions are compatible

inverse of a matrix-designating or of an operation which, when applied after a specific operation, cancels it.