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Linear Algebra

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

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Matrices

2026TheorySergey

A matrix, its notation, and the main types: row, column, echelon, square, diagonal, identity, symmetric - defined and shown with worked examples.
1
57

Basic Operations on Matrices

2026TheorySergey

Addition, scalar multiplication, transposition and multiplication of matrices, along with subtraction, powers, and trace.
0
15

Properties of Matrix Operations

2026TheorySergey

The basic properties of addition, scalar multiplication, transposition, and multiplication of matrices, with justifications.
0
18

Determinant

2026TheorySergey

The determinant of a square matrix — its meaning, minors and cofactors, Laplace expansion, and computation methods.
0
19

Determinant via Permutations

2026TheorySergey

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

0
17
Linear Algebra - LibreTimes