Thursday, July 5, 2012

Thursday review exercise

Most (although not all) of the blog posts for the rest of the semester will give exercises to help you review material we have covered during the semester.

Define a 4x4 triangular matrix, A. Without doing any calculations, state what it means for a vector to be an eigenvector of this matrix and how many eigenvectors exist for this matrix. Use MATLAB to calculate the eigenvalues and eigenvectors of your matrix. Without doing further calculations, determine all the eigenvectors of A^2.

Days until exam 3: 14
Days until final exam: 28
Regular time spent studying each day now has much greater value than time spent cramming in the last days before an exam.

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