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matrix
a rectangular array of values
dimensions
the number of rows and columns
elements
the numbers in a matrix
identity matrix
a square matrix with ones on the main diagonal and all other elements are zeros
augmented matrix
the coefficient and constants of a system in one matrix
rref
reduced row echelon form; contains identity and solution
system of equations
a set of two or more equations using the same variables; the solution is the set of all ordered coordinates that simultaneously make all equations in the system true