http://sites.science.oregonstate.edu/physics/portfolioswiki/ 2020-01-26T22:39:40-08:00 http://sites.science.oregonstate.edu/physics/portfolioswiki/ http://sites.science.oregonstate.edu/physics/portfolioswiki/lib/images/favicon.ico text/html 2012-01-25T06:00:04-08:00 http://sites.science.oregonstate.edu/physics/portfolioswiki/courses:hw:prhw:prhwcommute?rev=1327500004 Homework for Commuting Matrices This short exercise introduces the terms ``commutator'' and ``anticommutator''. The context is Pauli spin matrices. It can be used in conjunction with the homework problem (PauliPractice). This was intended to be a short exercise to encourage students to look at the geometric meaning of matrices that commute. We have only used it once and the (very sophisticated) TA spent forever on it, trying to explain what the matrices do. Use it at your own risk. text/html 2012-01-25T06:01:52-08:00 http://sites.science.oregonstate.edu/physics/portfolioswiki/courses:hw:prhw:prhwcomponents?rev=1327500112 Homework for Matrix Components This practice exercise helps students understand that they can ``pick out'' a particular component of a matrix by taking the braket of the matrix with appropriate basis vectors. The ``bra'' vector picks out the row and the ``ket'' vector picks out the column. Part $( c)$ requires Dirac bra-ket notation. text/html 2011-07-04T15:16:35-08:00 http://sites.science.oregonstate.edu/physics/portfolioswiki/courses:hw:prhw:prhwdiagonal?rev=1309817795 Homework for Diagonalizing Matrices 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. text/html 2012-01-26T10:17:20-08:00 http://sites.science.oregonstate.edu/physics/portfolioswiki/courses:hw:prhw:prhweigenv?rev=1327601840 Homework for Eigenvalues and Eigenvectors Lots and lots of practice finding eigenvalues and eigenvectors. FIXMEStraightfoward practice finding eigenvalues and eigenvectors for the particular case of a generic rotation matrix around the-axis. Warning: the eigenvectors and eigenvalues in this case are complex numbers. text/html 2017-01-23T13:11:03-08:00 http://sites.science.oregonstate.edu/physics/portfolioswiki/courses:hw:prhw:prhwmatrix?rev=1485205863 Homework for Matrix Manipulations This practice exercise helps students review the definitions of basic matrix manipulations. It can be used in conjunction with the handout: This practice problem introduces the Pauli Spin matrices. It is a useful early exercise before students begin the quantum content from the Spins paradigm: