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===== Homework for Matrix Manipulations =====

  - (MatrixPractice) \textit{This practice exercise helps students review the definitions of basic matrix manipulations.  It can be used in conjunction with the handout: }{{page>homework:prefacequestions:matrixpractice}}
    - {{page>homework:prefacequestions:matrixpracticea}}
    - {{page>homework:prefacequestions:matrixpracticeb}}
    - {{page>homework:prefacequestions:matrixpracticec}}
    - {{page>homework:prefacequestions:matrixpracticed}}
    - {{page>homework:prefacequestions:matrixpracticee}}
    - {{page>homework:prefacequestions:matrixpracticef}}
    - {{page>homework:prefacequestions:matrixpracticeg}}
    - {{page>homework:prefacequestions:matrixpracticeh}}
    - {{page>homework:prefacequestions:matrixpracticei}}
    - {{page>homework:prefacequestions:matrixpracticej}}
  - (PauliPractice) \textit{This practice problem introduces the Pauli Spin matrices.  It is a useful early exercise before students begin the quantum content from the Spins paradigm: }{{page>homework:prefacequestions:paulipractice}}
    - {{page>homework:prefacequestions:paulia}}
    - {{page>homework:prefacequestions:paulib}}
    - {{page>homework:prefacequestions:paulic}}
  - (Pauli) \textit{A follow-up to the previous problem, this exercise introduces the concepts of commutators and anti-commutators}{{page>homework:prefacequestions:pauli}}
    - {{page>homework:prefacequestions:paulid}}
    - {{page>homework:prefacequestions:paulie}}
    - {{page>homework:prefacequestions:paulif}}
  - (DiagonalPractice) \textit{This easy exercise only requires that students know how to multiply matrices.  It can be assigned before the concept of diagonalization is introduced and then used as an early lecture example.}{{page>homework:prefacequestions:diagonalpractice}}

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