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