Linear Combinations and Matrix-Vector Product

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Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Introduces algebraic properties, vector equations, and matrix operations.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Covers matrices, linear applications, vector spaces, and bijective functions.