2020–21–B
Dr. Dennis Gulko
Course topics
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Fields: the definition of a field, complex numbers.
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Linear equations: elementary operations, row reduction, homogeneous and non-homogeneous equations, parametrization of solutions.
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Vector spaces: examplex, subspaces, linear independence, bases, dimension.
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Matrix algebra: matrix addition and multiplication, elementary operations, the inverse matrix, the determinant and Cramer’s law. Linear transformations: examples, kernel and image, matrix representation.