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Linear algebra and its applications strang. Renowned professor and author gilbert strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. 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. This is a basic subject on matrix theory and linear algebra. 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. 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.

V w between two vector spaces v and w is the set of all elements v of v for which lv 0 where 0 denotes the zero vector in wthat is in set builder notation.

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