Matrices
2026TheorieSergey
A matrix, its notation, and the main types: row, column, echelon, square, diagonal, identity, symmetric - defined and shown with worked examples.
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Linear Algebra
Vector spaces, linear maps, matrices, and their applications across science and engineering.
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Alle ansehenBasic Operations on Matrices
2026TheorieSergey
Addition, scalar multiplication, transposition and multiplication of matrices, along with subtraction, powers, and trace.
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Properties of Matrix Operations
2026TheorieSergey
The basic properties of addition, scalar multiplication, transposition, and multiplication of matrices, with justifications.
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Determinant
2026TheorieSergey
The determinant of a square matrix — its meaning, minors and cofactors, Laplace expansion, and computation methods.
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Determinant via Permutations
2026TheorieSergey
The direct definition of a determinant via permutations: inversions, parity, and a sum of n! terms.
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