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=====The Outer Product (10 minutes)=====

  * The outer product is a form of matrix operation that most instructors have likely said is not possible.  So, tell students to get it out of their brains that the outer product //is not// doable!
  * Write down that the outer product is performed as follows.

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So, this operation allows us to move from the bra-ket notation of the projection operator $P_{\alpha}$ and find our matrix representation.
  * Convince students that this does produce the correct projection operator by having them [[swbq:qmsw:spswcompoutprod|Compute Several Outer Products]].


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