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Lecture
Linear Transformations in 3D
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Related lectures (30)
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Linear Transformations: Injective and Surjective
Explores injective and surjective linear transformations, kernel, image, and matrix operations.
Linear Transformations: Matrices and Bases
Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.
Linear Transformations: Matrices and Applications
Covers linear transformations using matrices, focusing on linearity, image, and kernel.
Linear Transformations: Kernel and Image
Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.
Dimension Calculation in Linear Algebra
Covers the calculation of dimensions in linear algebra, focusing on determining the dimension of the kernel of a given matrix.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Linear Algebra: Rank Theorem
Explores the Rank Theorem in linear algebra, covering matrix properties and determinants.
Linear Algebra: Basis and Matrices
Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.
Linear Applications: Matrices and Transformations
Covers linear applications, matrices, transformations, and the principle of superposition.
Linear Applications: Kernel and Image
Covers the concepts of kernel and image of a linear application in linear algebra.