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Matrices, Determinants, and Systems of Linear Equations.

Solving systems of linear equations using matrix method.

Matrices. Operations with matrices.

Gaussian elimination method for solving systems of linear equations.

Elementary transformations. Matrix rank. Solving homogeneous systems of equations.

Calculation of determinants

Symmetric, nonsymmetric, orthogonal, and inverse matrices.

Cramer's Rule.

Tables and Formulas

Derivative Table.

Table of Derivatives of Composite Functions.

Table of Higher Order Derivatives.

Table of Integrals

Taylor Series

Comparison of functions O(f) and o(f).