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Linear Algebra Contents: Linear Equations in Linear Algebra Matrix Algebra Determinants Vector Spaces Eigenvalues and Eigenvectors Diyako Ghaderyan www.soran.edu.iq 1 • Contents: Systems of Linear Equations Row Reduction and Echelon Forms Vector Equations The Matrix Equation Ax = b Solution Sets of Linear Systems Linear Independence Introduction to Linear Transformations The Matrix of a Linear Transformation www.soran.edu.iq 2 www.soran.edu.iq 3 www.soran.edu.iq 4 www.soran.edu.iq 5 www.soran.edu.iq 6 www.soran.edu.iq 7 www.soran.edu.iq 8 www.soran.edu.iq 9 www.soran.edu.iq 10 www.soran.edu.iq 11 www.soran.edu.iq 12 www.soran.edu.iq 13