Computer Science 252
Problem Solving with Java
Fall 2014, The College of Saint Rose
Lecture 24: Matrices
Date: Tuesday, November 25, 2014
Agenda
- Announcements
- Lab 8: Final Project implementation phase continues
- First look ahead to final exam
- review time: Tuesday, December 9, 9:00 PM
- exam: Thursday, December 11, 10:45-1:15
- more details next week
- Lecture 22 assignment recap, continued
- An additional two-dimensional array example
- Matrices
- In-class Exercise 24 - (20 lecture assignment
points) due before the start of our next class.
Your task is to add some functionality to the Matrix2D
example and write code to test it in the main method there. The
functionality you are to add:
- A method max that returns the largest number in the
matrix (5 points)
- A destructive method, that is, a method that modifies the
matrix on which it is called, named scale that multiplies
each entry in the matrix by a number (5 points)
- A non-destructive method, that is, one that does not change
the matrix on which it is called, named multiply that works
much like add but computes the matrix-matrix multiplication
result. If you don't remember how to multiply matrices, see the
"Matrix Product" section of the Wikipedia entry to Matrix
multiplication.
(10 points)
Please submit only the file
Matrix2D.java in
Submission Box
under "InClass24" before you leave class.
Lecture 24 Assignment
Due at the start of class, Tuesday, December 2.
Please submit answers to these questions
in Submission
Box under "LA24" or in hard copy by the
start of our next class. We will discuss these questions at the
start of class, so no late submissions are accepted. Please be sure
that your name is clearly indicated in all submissions.
The popular Sudoku puzzle game consists of a board that has 9 rows and
9 columns of numbers ranging from 1-9. Suppose we are writing a class
to store a Sudoku board. We will assume that filled-in entries
contain a number 1 through 9, and blank entries are represented by 0.
- Write a declaration of the instance variable board that
would store the board using a two-dimensional array of int.
Show also the construction of the array. (3 points)
- Write a method checkRowValidity that takes a row number (let's use
rows numbered 0-8 for simplicity) and checks that no two filled-in
entries contain the same number within that row (this would be
illegal in the game). It should return true if the row is
legal, false if not. (6 points)
- Assume you have a similar method checkColValidity (no need
to write it). Using your checkRowValidity and
checkColValidity methods as building blocks, write a method
checkRowsColsValidity that checks that all rows and columns are
valid in the current board. (6 points)
Also, please complete these problems from the text:
- BDM Exercise 14.9.3, p. 399-401. (4 points)
- BDM Exercise 14.10.1, p. 402-403. (6 points)
Examples