LAB 07D - TRANSPOSE IT

Concepts

If you've taken linear algebra, then you know what the transpose of a matrix is. If not, that's OK, as the concept is pretty simple. Basically the transpose of a matrix is a new matrix where the rows become the columns and the columns become the rows (a reflection). See Wikipedia for more details.

Get Started

Changing the size of an array is easier to do when the numbers of rows and columns are specified as symbolic constants; otherwise the change requires modifications to several statements. Thus, to get started, create two global constants NROWS and NCOLS which are assigned the values 4 and 2, respectively.

Then, in your main() function, declare a 2D array that is of size NROWS and NCOLS.

Transpose It!

In this lab, create the following four functions. Three of the four functions should have one parameter, a 2D array of size NROWSxNCOLS; the transpose function also needs a 2nd 2D array parameter, of size NCOLSxNROWS.

• A function that reads values into a 2D array from user input. Please prompt the user to ask for input one row at a time. Use your constants NROWS and NCOLS so that your program is flexible (e.g., if the constant values for NROWSxNCOLS are changed to 6x3). Here is an example input for a matrix of 4x2:
Please enter 2 integers, for row 0: 5 7
Please enter 2 integers, for row 1: 754 -34
Please enter 2 integers, for row 2: 486763 979
Please enter 2 integers, for row 3: 333 999
• A function that transposes the values in a 2D array, assigning the new matrix to the 2nd parameter passed to the function.
• Two functions that print the values in a 2D array (think about why you need TWO print functions). Output a tab between elements in each row. Again, make your program flexible by using NROWS and NCOLS wherever appropriate.

In summary, your main function should:

1. call the read 2D array to input matrix values
2. call the print 2D array function with the matrix read in
3. call the transpose function with both the matrix read in and the matrix that will hold the transposed elements
4. call the print 2D array function with the transposed matrix

NOTE: This lab will be due with Homework 07 (due Friday Mar 11 at 8am).