CS1001 - D Term, 2000
Laboratory 6 - Two-Dimensional Arrays
Date: April 26, 2000

Problem

The trace of a square matrix is defined as the sum of the elements on the main diagonal from the
upper lefthand corner to the lower righthand corner. For example, the trace of the matrix below is
10+(-2) + 4, or 12.

 10    5        7
  5   -2       -1
  0    9        4

Here is what you need to do:

   On a separate piece of paper, write your name, wpi login name, and section number. Answer
   the following question: assuming that every integer is stored in two memory words, how many
   words of memory would be needed to hold the array defined by the following declaration:

          INTEGER,DIMENSION(3,2,5) :: Table

   Hand your paper in to the TA.
   Write a program that will
   1. read in the size of a square matrix of integers that is less than or equal to 10 x 10
   2. Read in the elements of this matrix
   3. Calculate the trace
   4. Output the value of the trace
   Compile your program.

   (continued on reverse side)

   Create a typescript file showing a sample run of your program. Here is a sample execution:

   >f90 lab6.f90
   >a.out
    Enter the size of a square matrix (less than or equal to 10):
   3
    Enter the elements of the matrix
    Enter elements for row           1:
   10
   5
   7
    Enter elements for row           2:
   5
   -2
   -1
    Enter elements for row           3:
   0
   9
   4
    The trace of your matrix is:         12
   >

   Turn in your program and typescript file electronically by typing in the command

   /cs/bin/turnin submit lab6 lab6.f90 lab6.script

Adapted from Professor Glynis Hamel's material -- 1998

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