1: | Plot the following three curves on a single plot and a multiple plots (using the subplot command): 2 cos(t), sin(t), and cos(t)+sin(t). Use a time period such that two or three peaks occur for each curve. Use solid, dashed, and + symbols for the different curves. Use roughly 25–50 points for each curve. |
2: | a. Calculate the rank, determinant, and matrix inverse of the following matrices (use help rank, help det, and help inv): |
3: | Find C·C^{–1} where |
4: | Calculate x^{T}x, and calculate xx^{T} where |
5: | Find the eigenvalues of the matrix |
6: |
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