- 2070 Chaitra · 8 marks
Transpose m×n matrix in FORTRAN
Short answer
Read an m×n matrix. Transpose by B(j,i)=A(i,j). Display original and transposed matrices row by row using FORMAT.
Write a FORTRAN program to read m*n matrix, transpose it and display both the matrices.
Method. The transpose of an m × n matrix A is an n × m matrix B with B(j,i) = A(i,j): rows become columns. Both the original and transposed matrices are printed.
PROGRAM TRANS
INTEGER A(10,10), B(10,10)
INTEGER M, N, I, J
PRINT *, 'ENTER ROWS M AND COLUMNS N'
READ *, M, N
PRINT *, 'ENTER THE MATRIX'
READ *, ((A(I,J), J = 1, N), I = 1, M)
DO 20 I = 1, M
DO 10 J = 1, N
B(J,I) = A(I,J)
10 CONTINUE
20 CONTINUE
PRINT *, 'ORIGINAL MATRIX'
DO 30 I = 1, M
WRITE(*,100) (A(I,J), J = 1, N)
30 CONTINUE
PRINT *, 'TRANSPOSED MATRIX'
DO 40 J = 1, N
WRITE(*,100) (B(J,I), I = 1, M)
40 CONTINUE
100 FORMAT(10I5)
STOP
END
Sample: M = 2, N = 3, A = [1 2 3; 4 5 6] gives the transpose [1 4; 2 5; 3 6].
✓ Answer checked by Claude Opus 5.5 (high effort)
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