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I What does the multiplication of matrix represents?

  1. Jun 24, 2017 #1
    As we know that 2×3 = 2+2+2 = 6;
    so similarly what does matrix multiplication represents?
     
  2. jcsd
  3. Jun 24, 2017 #2

    fresh_42

    Staff: Mentor

    It means the consecutive application of two linear transformations represented by the matrices.
     
  4. Jun 24, 2017 #3

    Mark44

    Staff: Mentor

    Here's another explanation. A matrix can be thought of as a kind of function, one that takes a vector as its input, and produces another vector as its output. Multiplication of two matrices is equivalent to the composition of the functions that are represented by the matrices. I've explained this in terms of functions, but the usual terminology is linear transformations, mappings between vectors in one space to vectors in possibly a different space.
     
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