def __init__(self, master):

self.master = master

frame = Frame(master)

frame.grid()

variables = Label(master, text="How many variables do you want to solve for?")

variables.grid(row=0, column=0)

self.answer1 = Entry(master, width=4)

self.answer1.grid(row=0, column=1)

equations = Label(master, text="How many equations do you want to solve for?")

equations.grid(row=1, column=0)

self.answer2 = Entry(master, width=4)

self.answer2.grid(row=1, column=1)

go = Button(master, text="Go", command=self.sendoff)

go.grid(row=2, column=1)

def sendoff(self):

if not isvalid(self.answer1.get()) or not isvalid(self.answer2.get()):

newroot = Tk()

error = Invalid(newroot)

newroot.mainloop()

else:

file = open("storagefile.txt", "w")

a = self.answer1.get() + "\n"

b = self.answer2.get()

file.write(a + b)

file.close()

def __init__(self, master, columns, rows):

self.master = master

frame = Frame(master)

frame.grid()

self.widjetlist = []

for i in range(rows):

widjetrow = []

for j in range(columns):

tag = ""

if j == columns - 1:

tag = " = "

else:

tag = " + "

entry = Entry(master, width=4)

entry.grid(row=i, column=2*j)

label = Label(master, text="x" + str(j+1) + tag)

label.grid(row=i, column=2*j+1)

widjetrow.append((entry, label))

tagon = Entry(master, width=4)

tagon.grid(row=i, column=2*columns+2)

widjetrow.append((tagon, ""))

self.widjetlist.append(widjetrow)

solve = Button(master, text="Solve", command=self.sendoff)

solve.grid(row=rows+1, column=2*columns+2)

def sendoff(self):

for i in range(len(self.widjetlist)):

for j in range(len(self.widjetlist[i])):

if not isvalid(self.widjetlist[i][j][0].get()):

newroot = Tk()

error = Invalid(newroot)

newroot.mainloop()

return None

file = open("storagefile.txt","w")

file.write("")

file.close()

file = open("storagefile.txt", "a")

for i in range(len(self.widjetlist)):

for j in range(len(self.widjetlist[i])):

if self.widjetlist[i][j][0].get() == "":

file.write("0 ")

else:

file.write(self.widjetlist[i][j][0].get() + " ")

file.write("\n")

file.close()

def __init__(self, master):

self.master = master

frame = Frame(master)

frame.grid()

file = open("storagefile.txt", "r")

line = file.readline()

entries = []

while line:

entryrow = line[:-2].split()

for i in range(len(entryrow)):

entryrow[i] = float(entryrow[i])

entries.append(entryrow)

line = file.readline()

new = matrix.Matrix(entries)

reduced = new.rref()

Arows = [[reduced.rows[i][j] for j in range(len(reduced.rows[i])-1)] for i in range(len(reduced.rows))]

A = matrix.Matrix(Arows)

consistent = True

for i in range(len(reduced.rows)): #Check if the system is consistent...

if reduced.rows[i][-1] != 0:

consistent = False

for j in range(len(reduced.cols)-1):

if reduced.rows[i][j] != 0:

consistent = True

break

if not consistent: #...if it's not:

label = Label(master, text="This system of linear equations\n is not consistent.")

label.grid(row=0, column=0)

else: #... if it is:

all_vectors = False

if reduced == matrix.zero(len(reduced.rows), len(reduced.cols)):

all_vectors = True

coefficients = []

for i in range(len(A.rows)):

leading = False # tells if there's a leading 1 in the row

coefficients_row = []

for j in range(len(A.cols)):

if A.rows[i][j] == 1 and not leading:

leading = True

elif A.rows[i][j] != 0 and leading:

coefficients_row.append((-A.rows[i][j], j+1))

coefficients.append((leading, coefficients_row))

for i in range(len(coefficients)):

if all_vectors:

label = Label(master, text="x" + str(i+1) + " can be any real number.")

label.grid(row=i, column=0)

if not coefficients[i][0]:

continue

elif coefficients[i][1] == []:

label = Label(master, text="x" + str(i+1) + " = " + str(reduced.rows[i][-1]))

label.grid(row=i, column=0)

else:

stringer = "x" + str(i+1) + " = "

for coefficient in coefficients[i][1]:

stringer += str(coefficient[0]) + "*x" + str(coefficient[1]) + " + "

stringer += str(reduced.rows[i][-1])

label = Label(master, text=stringer)

def __init__(self, master):

frame = Frame(master)

frame.pack()

label = Label(master, text="That is invalid input.\nPlease try something else.")

"""Boolean determining if a string str_input is a number, either a float or integer."""

if str_input == "":

return True

if str_input[0] not in ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "-", "."]:

return False

dot_count = 0

for ch in str_input[1:]:

if ch == ".":

dot_count += 1

if dot_count == 2:

return False

if ch not in ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "."]:

return False

root = Tk()

A = Question(root)

root.mainloop()

file = open("storagefile.txt")

line1 = file.readline()[:-1]

line2 = file.readline()

file.close()

root = Tk()

B = Systems(root, int(line1), int(line2))

root.mainloop()

root = Tk()

C = Final(root)