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Related lectures (30)
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Linear Algebra: Cramer's Rule
Covers Cramer's Rule for solving linear equations using determinants.
Determinants and Properties
Covers the definition and properties of determinants, including the rule of Sarrus for 3x3 matrices.
Properties of Determinants
Explains the common properties of determinants and their consequences.
Analytical Geometry: Mixed Product and Determinant
Covers the analytical expression of the mixed product and its applications.
Change of Variables Theorem
Explores the change of variables formula in higher dimensions and its application through determinant algebra and a practical example.
Matrix Determinants: Theory and Applications
Explores the theory and applications of matrix determinants, emphasizing their role in matrix invertibility and solution uniqueness.
Spherical Coordinates: Determinant of Jacobi
Covers spherical coordinates and the determinant of Jacobi in linear algebra.
Linear Transformations in R³
Covers operations on linear applications in R³, including composition, addition, and determinants.
Linear Algebra: Systems of Equations and Transformations
Explores systems of linear equations, transformations, dilatation, rotation, and cross ratios in linear algebra.
Matrix Determinant: Factorization and Linear Equations
Covers the determinant of a matrix, factorization, and linear equations with infinite solutions.