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Algebraic Structures
Matrices and Systems of Linear Equations
Vector Spaces
Linear Transformations
Dual Spaces
Inner Product Spaces
Canonical Forms of an Operator
Bilinear and Quadratic Forms
Sesquilinear and Hermitian Forms
Applications of Linear Algebra to Numerical Methods
Affine and Euclidean Spaces and the Applications of Linear Algebra to Geometry
Ordinary differential equations and linear systems of ordinary differential equations.

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