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gibson:teaching:fall-2013:math445:hw3 [2013/10/14 10:54] gibson |
gibson:teaching:fall-2013:math445:hw3 [2013/10/22 07:14] (current) gibson |
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- | A few more problems, added 1/14/2013 | + | **A few more problems, added 1/14/2013** |
18. Set vector v to the 3rd column of matrix A. | 18. Set vector v to the 3rd column of matrix A. | ||
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21. Set the 4th row of the 8 x 5 matrix A to (1, 2, 9, 5, 0). | 21. Set the 4th row of the 8 x 5 matrix A to (1, 2, 9, 5, 0). | ||
- | 22. Zero all the entries in the last column of a matrix A. | + | 22. Set the 2nd column of the 4 x 3 matrix A to a column vector with entries (3, 0, -1, 5). |
+ | |||
+ | 23. Zero all the entries in the last column of a matrix A. | ||
+ | |||
+ | 24. Produce a contour plot of $f(x,y) = \sin(x^2+y^2)/\sqrt{x^2 + y^2}$ | ||
+ | where //x// and //y// range from -10 to 10. Label the axes. | ||
+ | |||
+ | ---- | ||
+ | |||
+ | **A few more problems, added late 10/14/2013**. You don't have to turn these in, but they are fair game for the exam. I will add more example problems over the next few days. | ||
+ | |||
+ | 25. Write an expression that returns the positive elements of a vector v. | ||
+ | |||
+ | 26. Write an expression that returns the sum of the positive elements of a vector v. | ||
+ | |||
+ | 27. Write an expression that returns the number of positive elements in a vector v. | ||
+ | |||
+ | ** Even more practice problems! Hooray! added 10/22/3013 ** | ||
+ | |||
+ | 28. Write a function that computes the factorial of an integer n using a ''while'' loop. | ||
+ | |||
+ | 29. Write an ''isPrime(n)'' function that returns 1 (true) is n is prime and 0 (false) if n is not prime. Don't worry about making the test efficient or doing it with integer arithmetic. | ||
+ | |||
+ | 30. Write a function that returns a vector of all the integer divisors of an integer n. Again, don't worry about efficiency or integer arithmetic. | ||
+ | |||
+ | |||
+ |