Augmented matrix 160
Augmented matrix of a system of linear equations 174
Backward pass 186
Closed model of a simple economy 175
Coefficient matrix of a system of linear equations 168
Consistent system of linear equations 169
Elementary column operation 148
Elementary matrix 149
Elementary operation 148
Elementary row operation 148
Equilibrium condition for a simple economy 176
Equivalent systems of linear equations 181
Forward pass 186
Gaussian elimination 186
General solution of a system of linear equations 188
Homogeneous system corresponding to a nonhomogeneous system 172
Homogeneous system of linear equations 170
Inconsistent system of linear equations 169
Input-output matrix 176
Nonhomogeneous system of linear equations 170
Nonnegative vector 176
Open model of a simple economy 177
Positive matrix 176
Rank of a matrix 152
Reduced row echelon form of a matrix 185
Solution to a system of linear equations 169
Solution set of a system of equations 169
System of linear equations 168
Type 1, 2, and 3 elementary operations 148