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Linear Algebra

Vector spaces, linear maps, matrices, and their applications across science and engineering.

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Matrices

2026理论Sergey

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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Basic Operations on Matrices

2026理论Sergey

Addition, scalar multiplication, transposition and multiplication of matrices, along with subtraction, powers, and trace.
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15

Properties of Matrix Operations

2026理论Sergey

The basic properties of addition, scalar multiplication, transposition, and multiplication of matrices, with justifications.
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18

Determinant

2026理论Sergey

The determinant of a square matrix — its meaning, minors and cofactors, Laplace expansion, and computation methods.
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19

Determinant via Permutations

2026理论Sergey

The direct definition of a determinant via permutations: inversions, parity, and a sum of n! terms.

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Linear Algebra - LibreTimes