## A Unified Introduction to Linear Algebra: Models, Methods, and Theory |

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approximate coefficient matrix compute condition number constraint converges coordinates Cramer's rule det(A determine diesel oil differential equations eigenvectors elimination by pivoting equals error Example feasible region Figure formula foxes frog Markov chain Gaussian elimination graph growth model heating oil inverse iterative method Leontief linear combination linear equations linear models linear program linear transformation linearly independent LU decomposition main diagonal Markov chain matrix algebra matrix multiplication matrix notation matrix product max norm n-by-n matrix node nonzero null space Null(A objective function obtain orthogonal orthonormal pair pivot on entry points polynomial population pseudoinverse rabbits refinery problem regression model scalar product Section 1.3 simple matrices simplex algorithm slack variable solution to Ax solve square sum norm Summary of Exercises Suppose symmetric matrix system of equations system of linear Theorem transition matrix units values vector space yields zero