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Each  n×nn×n  matrix describes a linear transformation  T:Rn→Rn.T:Rn→Rn.  If you take a figure S⊆Rn,S⊆Rn,  then that transformation maps it to its image, another figure T(S)⊆Rn.T(S)⊆Rn.   In the case...

Vector NormGiven an -dimensional vector (1) a general vector norm , sometimes written with a double bar as , is a nonnegative norm defined such that1.  when  and  iff .2.  for any...

Matrix NormGiven a square complex or real matrix , a matrix norm  is a nonnegative number associated with  having the properties1.  when  and  iff ,2.  for any scalar ,3. ,4. .Let , ...,  ...

Inertia Tensor in 2DWe can't have rotations in one dimension so two is the lowest number of dimensions to which we can apply this. In two dimensions the inertia tensor is a scalar quantity known as ...