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Tn order to be added, the two matrices must have the same dimensions and the compatible types of elements. Let c be the resulting matrix. Each ele- same or ment ci is aii + bij. For example, for two 3 x 3 matrices a and b, c is bb bi2 b13 а13 E=O E9 a12 b12 a13 +b13 а12 a11 b21 b22 b23 а23 a21 t b21 a22 +b22 a22 a23 +b23 а21 b31 b32 b33/ o0 a32 + b32 a33 + b33/ аз. a31 b31 аз2 a31 Write a test program that prompts the user to enter two 3 X 3 matrices and dis- plays their sum. Here is a sample run: Enter matrix1: 1 2 3 4 5 678 9 Enter Enter Enter matrix2: 0 2 4 1 4.5 2.2 1.1 4.3 5.2 The matrices are added as follows 1.0 4.0 7.0 0.0 2.0 4.0 1.0 2.0 3.0 5.0 9.5 8.2 1.0 4.5 2.2 4.0 5.0 6.0 + . 8.1 12.3 14.2 .0 8.0 9.0 1.1 4.3 5.2

Tn order to be added, the two matrices must have the same dimensions and the compatible types of elements. Let c be the resulting matrix. Each ele- same or ment ci is aii + bij. For example, for two 3 x 3 matrices a and b, c is bb bi2 b13 а13 E=O E9 a12 b12 a13 +b13 а12 a11 b21 b22 b23 а23 a21 t b21 a22 +b22 a22 a23 +b23 а21 b31 b32 b33/ o0 a32 + b32 a33 + b33/ аз. a31 b31 аз2 a31 Write a test program that prompts the user to enter two 3 X 3 matrices and dis- plays their sum. Here is a sample run: Enter matrix1: 1 2 3 4 5 678 9 Enter Enter Enter matrix2: 0 2 4 1 4.5 2.2 1.1 4.3 5.2 The matrices are added as follows 1.0 4.0 7.0 0.0 2.0 4.0 1.0 2.0 3.0 5.0 9.5 8.2 1.0 4.5 2.2 4.0 5.0 6.0 + . 8.1 12.3 14.2 .0 8.0 9.0 1.1 4.3 5.2

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.1: Matrices And Vectors
Problem 6P
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Using Java Eclipse IDE write the following program:

(Algebra: add two matrices) Write a method to add two matrices. The header of the method is as follows:

public static double [][] addMatrix(double[][] a, double [][] b)

In order to be added, the two matrices must have the same dimensions and the same or compatible types of elements. Let c be the resulting matrix. Each element cij is aij + bij . For example, for two 3 x 3 matrices a and b, c is 

Tn order to be added, the two matrices must have the same dimensions and the compatible types of elements. Let c be the resulting matrix. Each ele- same or ment ci is aii + bij. For example, for two 3 x 3 matrices a and b, c is bb bi2 b13 а13 E=O E9 a12 b12 a13 +b13 а12 a11 b21 b22 b23 а23 a21 t b21 a22 +b22 a22 a23 +b23 а21 b31 b32 b33/ o0 a32 + b32 a33 + b33/ аз. a31 b31 аз2 a31 Write a test program that prompts the user to enter two 3 X 3 matrices and dis- plays their sum. Here is a sample run: Enter matrix1: 1 2 3 4 5 678 9 Enter Enter Enter matrix2: 0 2 4 1 4.5 2.2 1.1 4.3 5.2 The matrices are added as follows 1.0 4.0 7.0 0.0 2.0 4.0 1.0 2.0 3.0 5.0 9.5 8.2 1.0 4.5 2.2 4.0 5.0 6.0 + . 8.1 12.3 14.2 .0 8.0 9.0 1.1 4.3 5.2
Transcribed Image Text:Tn order to be added, the two matrices must have the same dimensions and the compatible types of elements. Let c be the resulting matrix. Each ele- same or ment ci is aii + bij. For example, for two 3 x 3 matrices a and b, c is bb bi2 b13 а13 E=O E9 a12 b12 a13 +b13 а12 a11 b21 b22 b23 а23 a21 t b21 a22 +b22 a22 a23 +b23 а21 b31 b32 b33/ o0 a32 + b32 a33 + b33/ аз. a31 b31 аз2 a31 Write a test program that prompts the user to enter two 3 X 3 matrices and dis- plays their sum. Here is a sample run: Enter matrix1: 1 2 3 4 5 678 9 Enter Enter Enter matrix2: 0 2 4 1 4.5 2.2 1.1 4.3 5.2 The matrices are added as follows 1.0 4.0 7.0 0.0 2.0 4.0 1.0 2.0 3.0 5.0 9.5 8.2 1.0 4.5 2.2 4.0 5.0 6.0 + . 8.1 12.3 14.2 .0 8.0 9.0 1.1 4.3 5.2
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