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linear mapping

Explore examples of linear and non-linear mappings in R3 vector space with Pamela Leutwyler illustrating mapping properties and subspaces. Understand the domain, range, and null space in linear transformations.

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linear mapping

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  1. linear mapping a vector space homomorphism Pamela Leutwyler

  2. example 1 : T is NOT LINEAR because

  3. example 1 : T is NOT LINEAR because

  4. example 2 : T is LINEAR because

  5. T is LINEAR because

  6. T is LINEAR because

  7. The DOMAIN = R3

  8. The DOMAIN = R3 The RANGE= the set of points on the line y = - x (a 1 dimensional subspace of R2)

  9. The DOMAIN = R3 The RANGE= the set of points on the line y = - x (a 1 dimensional subspace of R2) The NULL SPACE (kernel) = the set of points on the plane x – y – z = 0 (a 2 dimensional subspace of R3)

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