Show that two combinations of two vectors in two dimensional space takes 7 multiplication

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I was reading the book Linear Algebra and Its Applications by Gilbert Strong(4th edition page-15) and in the first chapter came across the line

Two combinations of two vectors in two dimensional space would seem to take 8 multiplications, but they can be done in 7. Can someone explain this following sentence?,

  1. What does it mean by the word "combination" and how it normally take 8 multiplications.
  2. How we can reduce it to 7? enter image description here