Department of Mathematics

Math 300: Mathematical Computing

Matlab Slices

  1. Make a matrix called \(A\) whose first row comprises the numbers 1, 2, 3, ..., 10; whose second row comprises 1, 3, 5, ..., 19; and whose third row is all ones.
  2. Let \(A_k\) denote the \(3\times3\) matrix whose first entry is \(A_{1,k}\) and whose lower-right corner element is \(A_{3,k+2}\), for \(k=1,2,\dots,8\). Find \(A_3\).
  3. Let \(x=[1,1,1]^T\). What is \(A_5x?\)
  4. What is \(x^TA_6\)?
  5. What is the rank of \(A\)?

The last test will take place at the final exam time on Tuesday, 12 December, from 1:30-3:30. It will be written as a one-hour (not 50 minute) exam, but you may have the full two hours for it. In other respects it will be very like the other tests, but comprehensive - it will emphasize Python, but cover all the topics we have seen. There is a Sample Exam, but be aware that things will have changed somewhat with the advent of ChatGPT.

Assignment A is posted.

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