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gibson:teaching:fall-2013:math445:hw3

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gibson:teaching:fall-2013:math445:hw3 [2013/10/11 12:24]
gibson
gibson:teaching:fall-2013:math445:hw3 [2013/10/22 07:14] (current)
gibson
Line 51: Line 51:
 y_i = \sum_{j=1}^n A_{ij} x_j y_i = \sum_{j=1}^n A_{ij} x_j
 </​latex>​ </​latex>​
 +
 +**A few more problems, added 1/14/2013**
 +
 +18. Set vector v to the 3rd column of matrix A.
 +
 +19. Set vector v to the 4th row of matrix A.
 +
 +20. Set vector v to the first 3 entries in the 7th row of A.
 +
 +21. Set the 4th row of the 8 x 5 matrix A to (1, 2, 9, 5, 0).
 +
 +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. ​
 +
 +
 +
  
gibson/teaching/fall-2013/math445/hw3.1381519463.txt.gz ยท Last modified: 2013/10/11 12:24 by gibson