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Related lectures (31)
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Row-echelon and reduced row-echelon matrices
Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.
General case of degree two polynomials
Explores Viète's formula for finding roots of degree two polynomials and their significance.
Rank of the Dual Map: Theorem 7.6
Explores Theorem 7.6 on the rank of the dual map in linear applications and delves into matrices and scalar matrices.
Linear Differential Equations: Second Order with Constant Coefficients
Covers linear differential equations of the second order with constant coefficients, focusing on solution methods for various discriminant cases.
Systems of Equations and Matrices
Covers systems of equations, matrices, solving examples, and consequences of invertible matrices.
Matrix Representation of Linear Transformation: Properties
Covers the matrix representation of a linear transformation and its properties, including bases and coefficients.
Equations of Heat and Fourier Transform
Covers heat equations, Fourier transforms, and variable separation methods.
Matrix Operations: Row Echelon Form
Covers the process of row echelon form by performing various operations on matrices.
Algebraic Closure of Qp
Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.
Linear Maps: Basis and Applications
Explores linear maps, basis freedom, composition, coordinates in different bases, associated matrices, and coefficients.