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Related lectures (30)

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Explores linear transformations, matrices, kernels, and images in algebra.

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

Covers the transformation of vectors and tensors in quantum physics.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Explores changing bases in vector spaces using matrices and the significance of preserving structure within vector spaces.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers the properties of polynomials vector space and subspaces.

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.