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Homework Help: Spanning set

  1. Feb 27, 2010 #1
    e11, e12, e21, and e22 are 2x2 matrices with all zeros except for a one in ij=11, ij =12, ij=21, and ij=22, respectively.

    I know how to show if vectors are a spanning set but I don't know what to do about matrices.

    Can someone show me how to approach this? Thanks.
  2. jcsd
  3. Feb 27, 2010 #2
    What is the dimension of the space of 2x2 matrices? What is the dimension of the set you have? Are they linearly independent? What does that mean?
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