from playLA.Vector import Vector
from playLA.GramSchmidtProcess import gram_schmidt_process
if __name__ == "__main__":
basis1 = [Vector([2, 1]), Vector([1, 1])]
res1 = gram_schmidt_process(basis1)
for row in res1:
print(row)
res1 = [row / row.norm() for row in res1]
for row in res1:
print(row)
print(res1[0].dot(res1[1]))
basis2 = [Vector([2, 3]), Vector([4, 5])]
res2 = gram_schmidt_process(basis2)
for row in res2:
print(row)
res2 = [row / row.norm() for row in res2]
for row in res2:
print(row)
print(res2[0].dot(res2[1]))
basis3 = [Vector([1, 0, 1]), Vector([3, 1, 1]), Vector([-1, -1, -1])]
res3 = gram_schmidt_process(basis3)
for row in res3:
print(row)
res3 = [row / row.norm() for row in res3]
for row in res3:
print(row)
from playLA.Vector import Vector
from playLA.GramSchmidtProcess import gram_schmidt_process
if __name__ == "__main__":
basis1 = [Vector([2, 2]), Vector([3, 5])]
res1 = gram_schmidt_process(basis1)
for row in res1:
print(row)
res1 = []
from playLA.Vector import Vector
from playLA.GramSchmidtProcess import gram_schmidt_process
from itertools import product
if __name__ == "__main__":
basis1 = [Vector([2, 1]), Vector([1, 1])]
res1 = gram_schmidt_process(basis1)
for row in res1:
print(row)
res1 = [row / row.norm() for row in res1]
for row in res1:
print(row)
print()
basis2 = [Vector([2, 3]), Vector([4, 5])]
res2 = gram_schmidt_process(basis2)
res2 = [row / row.norm() for row in res2]
for row in res2:
print(row)
print(res2[0].dot(res2[1]))
print()
basis4 = [
Vector([1, 1, 5, 2]),
Vector([-3, 3, 4, -2]),
Vector([-1, -2, 2, 5])
]
res4 = gram_schmidt_process(basis4)
res4 = [row / row.norm() for row in res4]