gibson:teaching:fall-2013:math445:hw3
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gibson:teaching:fall-2013:math445:hw3 [2013/10/11 12:23] gibson created |
gibson:teaching:fall-2013:math445:hw3 [2013/10/22 07:14] (current) gibson |
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| using red for //sin(x)// and blue for //cos(x)//. Add a legend that indicates which function is which color. | using red for //sin(x)// and blue for //cos(x)//. Add a legend that indicates which function is which color. | ||
| - | 7. Produce a vector whose components are random integers between 0 and 10, inclusive. | + | 7. Produce a vector of length 13 whose components are random integers between 0 and 10, inclusive. |
| - | 8. Produce a vector whose components are random real numbers between 0 and 10, inclusive. | + | 8. Produce a vector of length 13 whose components are random real numbers between 0 and 10, inclusive. |
| 9. Show how you would solve the following system of equations with Matlab | 9. Show how you would solve the following system of equations with Matlab | ||
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| y_i = \sum_{j=1}^n A_{ij} x_j | y_i = \sum_{j=1}^n A_{ij} x_j | ||
| </latex> | </latex> | ||
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| + | **A few more problems, added 1/14/2013** | ||
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| + | 18. Set vector v to the 3rd column of matrix A. | ||
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| + | 19. Set vector v to the 4th row of matrix A. | ||
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| + | 20. Set vector v to the first 3 entries in the 7th row of A. | ||
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| + | 21. Set the 4th row of the 8 x 5 matrix A to (1, 2, 9, 5, 0). | ||
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| + | 22. Set the 2nd column of the 4 x 3 matrix A to a column vector with entries (3, 0, -1, 5). | ||
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| + | 23. Zero all the entries in the last column of a matrix A. | ||
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| + | 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. | ||
| + | |||
| + | ---- | ||
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| + | **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. | ||
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| + | 25. Write an expression that returns the positive elements of a vector v. | ||
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| + | 26. Write an expression that returns the sum of the positive elements of a vector v. | ||
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| + | 27. Write an expression that returns the number of positive elements in a vector v. | ||
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| + | ** Even more practice problems! Hooray! added 10/22/3013 ** | ||
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| + | 28. Write a function that computes the factorial of an integer n using a ''while'' loop. | ||
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| + | 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. | ||
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| + | 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. | ||
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gibson/teaching/fall-2013/math445/hw3.1381519387.txt.gz ยท Last modified: 2013/10/11 12:23 by gibson
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