Due Date: 07.30
1. Objectives
Completing
all tasks in this assignment will help you write simple functions.
First skim, then carefully read the entire assignment before starting any
tasks.
2. Perfect numbers revisited
Write a
function called isperfect that returns 1 if its input parameter p is a perfect number, and 0
otherwise. Use your results from HW 5.
3. Time-conversion
Part A:
Write a function called hms2s that converts a
time expressed in hours, minutes, seconds to a time expressed in seconds.
Function hms2s returns one variable, seconds, and takes three input arguments: hours (h), minutes (m), and seconds (s).
Part B:
Now write a function s2hms that performs
the opposite operation: function s2hms takes one input
argument (seconds) and returns the three variables h, m, and s.
4. Palindromes
Write
a function isPalindrome( w ) that takes an array of characters
and returns true if the characters in the array constitute a palindrome, or
false otherwise. A palindrome is the same forwards as backwards, e.g. ['a' 'b'
'c' 'b' 'a'].
5. Shifting Matrices
Write
a function upShift( M ) that shifts the rows of its input matrix
M, 1 position upwards.
The first row must be added at the bottom (wrapping around). Return the
up-shifted matrix as a result.
6. Summing lower triangles*
Write a function called sumDownTri
that calculates the sum of the lower left triangular part of a rectangular
matrix containing numbers. The three
sides of the triangle have the same number of elements. Three examples of rectangular matrices are
shown below. The cells in the lower
left of the triangle are labeled d and the remaining cells are labeled x.
d x x x x x x x x x d
x x x
d
d x x x x x x x x d d x x
d
d d x x x x d x x d d d x
d
d d d x x x d d x d d d d
d
d d
Function sumDownTri
takes on rectangular matrix M as the input argument and has one output argument triSum
that contains the sum of the elements in the lower left triangular part of
matrix M. Assume the matrix is at least 2-by-2 in size. Do not use the MATLAB predefined
function tril.
7. Submitting Your Work
Type your
name, student ID, and the date at the top of each file. Print and sign each file. Hand the signed documents along with your
output to the teaching assistant at the beginning of the lab session on Tuesday
30 July 2002.
*Challenge
problem