Linear vector spaces

Linear vector spaces

Introduction to vector space

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Akshamala

Linear vector spaces

Subspace and linear combination of a vector.

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Akshamala

Linear vector spaces

Linear independence

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Akshamala

Linear vector spaces

Inner product space, Cauchy Schwartz inequality and triangle inequality

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Akshamala

Linear vector spaces

Orthonormal vector and Gram-Schmidt orthonormalization process

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Akshamala

Linear vector spaces

Orthonormal basis

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Akshamala

Linear vector spaces

Linear transformation and it's properties

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Akshamala

Linear vector spaces

Problem associated with linear transformation and change of basis

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Akshamala

Linear vector spaces

Linear Operators and Their Matrix Representation and properties of arbitrary matrix

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Linear vector spaces

Spacial Square Matrices

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Linear vector spaces

Orthogonal, Unitary and Hermitian Matrix

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Linear vector spaces

Inverse Coordinate Transformation and Similarity Transformation, Matrix Representation

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Linear vector spaces

Eigen Values and Eigen vectors of the Matrix and The Eigenvalue Probem

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Akshamala

Linear vector spaces

Diagonalization of Matrices

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Akshamala

Linear vector spaces

Linear Transformation in Matrix Form

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Akshamala