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Multiplication by zero

  1. Jul 19, 2011 #1
    Mutiplication of a scalar by a 0 gives 0(scalar)

    And also one proves in linear vector spaces that a vector(|>) combined with 0 by multiplicative law gives |0> .

    Similarly can one prove that multiplication of a tensor of say rank 2,by 0 will produce a null rank 2 tensor.
  2. jcsd
  3. Jul 19, 2011 #2
    yes one can.
  4. Jul 19, 2011 #3
    Iam asking for an idea on how to do it?
  5. Jul 19, 2011 #4
    Well, in my books, a tensor is by definition a multilinear map from a bunch of vector spaces to the reals. The result you want comes right out of the linearity.
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