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In mathematics and more specifically in linear algebra and functional analysis the kernel also known as null space or nullspace of a linear map l.

Linear algebra and its applications strang. This is a basic subject on matrix theory and linear algebra. Originally utilized to study principal axes of the rotational motion of rigid bodies eigenvalues and eigenvectors have a wide range of applications for example in stability analysis vibration analysis. Emphasis is given to topics that will be useful in other disciplines including systems of equations vector spaces determinants eigenvalues similarity and positive definite matrices. While the mathematics is there the effort is not all concentrated on proofs. Eigenvalues and eigenvectors feature prominently in the analysis of linear transformations.

The prefix eigen is adopted from the german word eigen for proper characteristic.

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