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This lab will focus on populating and traversing a two-dimensional array (matrix). Consider a 3 by 3 square containing values Vị to V9 as shown below; conveniently, these values can be represented using a matrix (two-dimensional array). Vi V2 V3 V4 Vs V6 V7 Ve V9 A square is said to be row semi-magic if the values in each of the rows sum to the same value: (Vi + V2 + V3 = V4 + Vs + V6 = V7 + Ve + V9). A square is said to be column semi-magic if the values in each of the columns sum to the same value: (Vi + V4 + V7 = V2 + Vs + Ve = V3 + V6 + V9). A matrix is said to be magic if the matrix is semi-magic in terms of its rows and its columns. Complete the three corresponding methods that determine if the given matrix is column semi-magic, row semi- magic, and magic. You may not assume the input matrix has a particular number of sides. As a positive test example, use the following magic matrix. We verify that the matrix is magic by noting that 1 + 5 + 9 = 159 8 34 6 72 8 + 3 + 4 = 6 + 7 + 2 - 15 = 1 + 8 + 6 = 5 + 3 + 7 - 9 + 4 + 2 Implement a Matrix class with a matrix as an attribute and the necessary methods. The constructor should throw an exception if the input matrix is not square. Also implement a Tester class that constructs and initializes a Matrix object and tests whether the matrix is magic.

This lab will focus on populating and traversing a two-dimensional array (matrix). Consider a 3 by 3 square containing values Vị to V9 as shown below; conveniently, these values can be represented using a matrix (two-dimensional array). Vi V2 V3 V4 Vs V6 V7 Ve V9 A square is said to be row semi-magic if the values in each of the rows sum to the same value: (Vi + V2 + V3 = V4 + Vs + V6 = V7 + Ve + V9). A square is said to be column semi-magic if the values in each of the columns sum to the same value: (Vi + V4 + V7 = V2 + Vs + Ve = V3 + V6 + V9). A matrix is said to be magic if the matrix is semi-magic in terms of its rows and its columns. Complete the three corresponding methods that determine if the given matrix is column semi-magic, row semi- magic, and magic. You may not assume the input matrix has a particular number of sides. As a positive test example, use the following magic matrix. We verify that the matrix is magic by noting that 1 + 5 + 9 = 159 8 34 6 72 8 + 3 + 4 = 6 + 7 + 2 - 15 = 1 + 8 + 6 = 5 + 3 + 7 - 9 + 4 + 2 Implement a Matrix class with a matrix as an attribute and the necessary methods. The constructor should throw an exception if the input matrix is not square. Also implement a Tester class that constructs and initializes a Matrix object and tests whether the matrix is magic.

C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section: Chapter Questions
Problem 12PP: (Data processing) The answers to a true-false test are as follows: T T F F T. Given a twodimensional...
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Cs101: Lab #17 Arrays Part II This lab will focus on populating and traversing a two-dimensional array (matrix). Consider a 3 by 3 square containing values V1 to V9 as shown below; conveniently, these values can be represented using a matrix (two-dimensional array). V1 V2 V3 V4 Vs Ve Vi V8 V9 A square is said to be row semi-magic if the values in each of the rows sum to the same value: (Vi + V2 + V3 = V4 + Vs + V6 = V7 + V8 + V9). A square is said to be column semi-magic if the values in each of the columns sum to the same value: (Vi + V4 + V7 = V2 + Vs + V8 = V3 + V6 + V9). A matrix is said to be magic if the matrix is semi-magic in terms of its rows and its columns. Complete the three corresponding methods that determine if the given matrix is column semi-magic, row semi- magic, and magic. You may not assume input matrix has a particular number of sides. As a positive test example, use the following We verify that the matrix is magic by noting magic matrix. that 1 1 + 5 + 9 = 8 6 7 2 8 + 3 + 4 = 6 + 7 + 2 = 15 = 1 + 8 + 6 = 5 + 3 + 7 = 9 + 4 + 2 Implement a Matrix class with a matrix as an attribute and the necessary methods. The constructor should throw an exception if the input matrix is not square. Also implement a Tester class that constructs and initializes a Matrix object and tests whether the matrix is magic.
Transcribed Image Text:Cs101: Lab #17 Arrays Part II This lab will focus on populating and traversing a two-dimensional array (matrix). Consider a 3 by 3 square containing values V1 to V9 as shown below; conveniently, these values can be represented using a matrix (two-dimensional array). V1 V2 V3 V4 Vs Ve Vi V8 V9 A square is said to be row semi-magic if the values in each of the rows sum to the same value: (Vi + V2 + V3 = V4 + Vs + V6 = V7 + V8 + V9). A square is said to be column semi-magic if the values in each of the columns sum to the same value: (Vi + V4 + V7 = V2 + Vs + V8 = V3 + V6 + V9). A matrix is said to be magic if the matrix is semi-magic in terms of its rows and its columns. Complete the three corresponding methods that determine if the given matrix is column semi-magic, row semi- magic, and magic. You may not assume input matrix has a particular number of sides. As a positive test example, use the following We verify that the matrix is magic by noting magic matrix. that 1 1 + 5 + 9 = 8 6 7 2 8 + 3 + 4 = 6 + 7 + 2 = 15 = 1 + 8 + 6 = 5 + 3 + 7 = 9 + 4 + 2 Implement a Matrix class with a matrix as an attribute and the necessary methods. The constructor should throw an exception if the input matrix is not square. Also implement a Tester class that constructs and initializes a Matrix object and tests whether the matrix is magic.
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