fortran如何写3×4矩阵

在fortran程序中,如何写出3×4矩阵,并求出与转置矩阵的和

该回答通过自己思路及引用到GPTᴼᴾᴱᴺᴬᴵ搜索,得到内容具体如下:
在Fortran中,可以使用二维数组来表示矩阵,以下是一个示例程序,生成一个3x4的矩阵,并求出与其转置矩阵的和:

program matrix_transpose_sum
  implicit none
  
  integer, parameter :: m = 3, n = 4
  integer :: i, j
  integer :: a(m,n), b(n,m), c(m,m)
  
  ! Generate matrix a
  do i = 1, m
    do j = 1, n
      a(i,j) = (i-1)*n + j
    end do
  end do
  
  ! Calculate transpose of a and store it in matrix b
  do i = 1, n
    do j = 1, m
      b(i,j) = a(j,i)
    end do
  end do
  
  ! Calculate sum of a and b
  do i = 1, m
    do j = 1, m
      c(i,j) = a(i,j) + b(i,j)
    end do
  end do
  
  ! Print matrices a, b, and c
  write(*,*) 'Matrix a:'
  do i = 1, m
    write(*,'(4i4)') (a(i,j), j=1,n)
  end do
  
  write(*,*) 'Matrix b (transpose of a):'
  do i = 1, n
    write(*,'(4i4)') (b(i,j), j=1,m)
  end do
  
  write(*,*) 'Matrix c (sum of a and b):'
  do i = 1, m
    write(*,'(4i4)') (c(i,j), j=1,m)
  end do
  
end program matrix_transpose_sum

在Python中,可以使用NumPy库来处理矩阵,以下是一个示例程序,生成一个3x4的矩阵,并求出与其转置矩阵的和:

import numpy as np

# Generate matrix a
a = np.array([[1, 2, 3, 4],
              [5, 6, 7, 8],
              [9, 10, 11, 12]])

# Calculate transpose of a and store it in matrix b
b = a.T

# Calculate sum of a and b
c = a + b

# Print matrices a, b, and c
print('Matrix a:')
print(a)

print('Matrix b (transpose of a):')
print(b)

print('Matrix c (sum of a and b):')
print(c)

在Java中,可以使用二维数组来表示矩阵,以下是一个示例程序,生成一个3x4的矩阵,并求出与其转置矩阵的和:

public class MatrixTransposeSum {
    public static void main(String[] args) {
        int m = 3, n = 4;
        int[][] a = new int[m][n];
        int[][] b = new int[n][m];
        int[][] c = new int[m][m];

        // Generate matrix a
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                a[i][j] = i*n + j + 1;
            }
        }

        // Calculate transpose of a and store it in matrix b
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                b[i][j] = a[j][i];
            }
        }

        // Calculate sum of a and b
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < m; j++) {
                c[i][j] = a[i][j] + b[i][j];
            }
        }

        // Print matrices a, b, and c
        System.out.println("Matrix a:");
        printMatrix(a);

        System.out.println("Matrix b (transpose of a):");
        printMatrix(b);

        System.out.println("Matrix c (sum of a and b):");
        printMatrix(c);
    }

    public static void printMatrix(int[][] matrix) {
        for (int[] row : matrix) {
            for (int num : row) {
                System.out.printf("%4d", num);
            }
            System.out.println();
        }
    }
}

在PHP中,可以使用二维数组来表示矩阵,以下是一个示例程序,生成一个3x4的矩阵,并求出与其转置矩阵的和:

<?php

// Generate matrix a
$a = array(
  array(1, 2, 3, 4),
  array(5, 6, 7, 8),
  array(9, 10, 11, 12)
);

// Calculate transpose of a and store it in matrix b
$b = array();
for ($i = 0; $i < 4; $i++) {
  $b[$i] = array();
  for ($j = 0; $j < 3; $j++) {
    $b[$i][$j] = $a[$j][$i];
  }
}

// Calculate sum of a and b
$c = array();
for ($i = 0; $i < 3; $i++) {
  $c[$i] = array();
  for ($j = 0; $j < 3; $j++) {
    $c[$i][$j] = $a[$i][$j] + $b[$i][$j];
  }
}

// Print matrices a, b, and c
echo "Matrix a:\n";
printMatrix($a);

echo "Matrix b (transpose of a):\n";
printMatrix($b);

echo "Matrix c (sum of a and b):\n";
printMatrix($c);

function printMatrix($matrix) {
  foreach ($matrix as $row) {
    foreach ($row as $num) {
      printf("%4d", $num);
    }
    echo "\n";
  }
}
?>

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