Exercicio 1, Fortran

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!gfortran, gcc version 7.4.0

Program Exercicio1
implicit none

integer, parameter :: m=4
real (8) :: mat(m,m+1)
integer :: i

mat = reshape((/9.d0,2.d0,-3.d0,-2.d0,-2.d0,8.d0,2.d0,3.d0,3.d0,-2.d0,11.,2.,2.,3.,-4.,10.,54.4,-14.,12.5,-21./), shape(mat)) 
print*, "Matriz original"
    print*, " "
    
    do i = 1, m 
        write (*, '(5f12.4)') mat(i, :)
    end do
    
call GJ (m,m+1,mat)

CONTAINS

subroutine GJ(m,n,a)
    implicit none 
    integer :: m, n                         ! Dimensões da matriz
    real(8) :: a(m,n)                       ! matriz passada do programa principal para a subrotina
    integer :: i,j,k 
    
    do i=1,m
        mat(i, i:n) = mat(i,i:n)/ mat(i,i)
        
        do j=1,m 
            if (i/=j) then 
                do k=n,i,-1
                    mat(j,k)= mat(j,k) - (mat(i,k) * mat(j,i)) 
                end do
            end if 
        end do 
   end do
   
   print*, " "
   print*, "Matriz diagonalizada"
   print*, " "
   do i = 1, m
        write (*, '(5f12.4)') mat(i, :)
    end do
    return 
end subroutine GJ

end program Exercicio1

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Compilation time: 0.12 sec, absolute service time: 0,33 sec