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matrix

a rectangular array of elements (or entries) set out by rows and columns

elements

What are the objects in a set called?

rows

what does the 2 represent in 2x3

columns

what does the 3 represent in 2x3

dimensions

the rows by columns of a matrix

row matrix

a matrix has only 1 row

column matrix

a matrix has only 1 column

square matrix

the same number of elements in the rows and columns.

zero matrix

matrix containing zeros

equal matrices

-dimensions are the same

identity matrix

diagonal matrix with ones in the leading diagonal and zeros in the other positions.

scalar

A term used in matrix multiplication to describe a real number as opposed to a matrix

matrix multiplication

-can be multiplied if the # of A columns = # of B rows

8

[1 4] solve for det A

determinant

ad-bc; must be nonzero for an invertible matrix

2 X 2 determinant

the ad elements - the bc elements

-2

solve det A for the matrix [1 2]

3 X 3 determinant

diag 1+ diag 2 + diag 3- (across 1-across 2-across 3)

no solution: determinant ≠ 0

evaluate det B: for [ 0 0]

undefined determinant

determinant = 0

diagonal matrix

has zeros in all positions other than the leading diagonal which contains numbers other than zero.

inverse of matrix

the inverse of A, or A to the -1 power

x matrix

x values of matrix

constant matrix

constant numbers in a matrix

coefficient matrix

A matrix used to solve a system of linear equations with Cramer's rule, in which the elements of the matrices are the coefficients of the variables

Cramer's rule

A formula for solving a system of two linear equations using matrices