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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