import itertools

N = 4

print("The dimension : " + str(N))

temp = itertools.count(1)

res = [[next(temp) for i in range(N)] for i in range(N)]

print("The created matrix of N * N: " + str(res))

Solve Problems by Coding Solutions - A Complete solution for python programming

Showing posts with label **Matrix Creation**. Show all posts

Showing posts with label **Matrix Creation**. Show all posts

import itertools

N = 4

print("The dimension : " + str(N))

temp = itertools.count(1)

res = [[next(temp) for i in range(N)] for i in range(N)]

print("The created matrix of N * N: " + str(res))

test_list = [[4, 5, 8], [8, 1, 20], [7, 12, 10]]

print("The original list is : " + str(test_list))

K = 2

res = [sub[K] for sub in test_list]

print("The Kth column of matrix is : " + str(res))

R = 3

C = 3

def minCost(cost, m, n):

tc = [[0 for x in range(C)] for x in range(R)]

tc[0][0] = cost[0][0]

for i in range(1, m + 1):

tc[i][0] = tc[i-1][0] + cost[i][0]

for j in range(1, n + 1):

tc[0][j] = tc[0][j-1] + cost[0][j]

for i in range(1, m + 1):

for j in range(1, n + 1):

tc[i][j] = min(tc[i-1][j-1], tc[i-1][j],tc[i][j-1]) + cost[i][j]

return tc[m][n]

cost = [[1, 2, 3],

[4, 8, 2],

[1, 5, 3]]

print(minCost(cost, 2, 2))

sample_list = [["Hi", "python"], ["welcome", "for"], ["to","engineers"]]

print("The original list : " + str(sample_list))

res = []

N = 0

while N != len(sample_list):

temp = ''

for idx in sample_list:

try: temp = temp + idx[N]

except IndexError: pass

res.append(temp)

N = N + 1

res = [ele for ele in res if ele]

print("List after column Concatenation : " + str(res))

arr = [[5, 6, 7, 8],

[1, 2, 3, 4],

[5, 6, 7, 8],

[9, 8, 7, 5]]

a = len(arr[0])

i=0

for j in range(0, a-1):

print(arr[i][j], end =" ")

k = 1

for i in range(0, a):

for j in range(a, 0, -1):

if(j==a-k):

print(arr[i][j], end = " ")

break;

k+=1

i=a-1;

for j in range(0, a):

print(arr[i][j], end = " ")

import numpy as np

A=np.array([[1.5,1],[3.75,4]])

B=np.array([1800,900])

x=np.linalg.solve(A,B)

print("Values of A and B variables:",x)

h=np.allclose(np.dot(A, x), B)

print("Substitution of two variables in equation to validate:",h)

A=np.array([[1.5,1],[3.75,4]])

B=np.array([1800,900])

x=np.linalg.solve(A,B)

print("Values of A and B variables:",x)

h=np.allclose(np.dot(A, x), B)

print("Substitution of two variables in equation to validate:",h)

import numpy as np

A = np.array([[4,1,7],[2,1,8],[3 ,7,1]])

B = np.array([[6,1,1],[2,1,5],[2,3,1]])

C=A.dot(B)

print("Values of First 2D Matrix\n",A)

print("Values of Second 2D Matrix\n",B)

print("---------------------------------------------")

print("Multiplication of Matrices\n",C)

print("\n")

Ainv=np.linalg.inv(A)

Binv=np.linalg.inv(B)

print("Inverse of First Matrix\n",Ainv)

print("Inverse of Second Matrix\n",Binv)

print("\n")

AI=Ainv.dot(A)

BI=Binv.dot(B)

print("Multiplication of First Matrix and their Inverse\n",AI)

print("Multiplication of Second Matrix and their Inverse\n",BI)

AD=np.linalg.det(A)

BD=np.linalg.det(B)

print("\n")

print("Determinant of First Matricx:",AD)

print("Determinant of Second Matricx:",BD)

print("\n")

ADi=np.diag(A)

BDi=np.diag(B)

print("Diagonal Elements of First Matrix:",ADi)

print("Diagonal Elements of Second Matrix:",BDi)

SADi=np.trace(A)

SBDi=np.trace(B)

print("\n")

print("Sum of Diagonal Elements of First Matrix:",SADi)

print("Sum of Diagonal Elements of Second Matrix:",SBDi)

print("\n")

CA=np.cov(A)

CB=np.cov(B)

print("Covariance matrix of First Matrix\n",CA)

print("Covariance matrix of Second Matrix\n",CB)

print("\n")

ECA=np.linalg.eigh(CA)

ECB=np.linalg.eigh(CB)

print("First array represents eigenvalues and second array represents eigenvectors")

print("\n")

print("covariance matrix eigenvalues eigenvectors of First Matrix\n",ECA)

print("\n")

print("covariance matrix eigenvalues eigenvectors of Second Matrix\n",ECB)

A = np.array([[4,1,7],[2,1,8],[3 ,7,1]])

B = np.array([[6,1,1],[2,1,5],[2,3,1]])

C=A.dot(B)

print("Values of First 2D Matrix\n",A)

print("Values of Second 2D Matrix\n",B)

print("---------------------------------------------")

print("Multiplication of Matrices\n",C)

print("\n")

Ainv=np.linalg.inv(A)

Binv=np.linalg.inv(B)

print("Inverse of First Matrix\n",Ainv)

print("Inverse of Second Matrix\n",Binv)

print("\n")

AI=Ainv.dot(A)

BI=Binv.dot(B)

print("Multiplication of First Matrix and their Inverse\n",AI)

print("Multiplication of Second Matrix and their Inverse\n",BI)

AD=np.linalg.det(A)

BD=np.linalg.det(B)

print("\n")

print("Determinant of First Matricx:",AD)

print("Determinant of Second Matricx:",BD)

print("\n")

ADi=np.diag(A)

BDi=np.diag(B)

print("Diagonal Elements of First Matrix:",ADi)

print("Diagonal Elements of Second Matrix:",BDi)

SADi=np.trace(A)

SBDi=np.trace(B)

print("\n")

print("Sum of Diagonal Elements of First Matrix:",SADi)

print("Sum of Diagonal Elements of Second Matrix:",SBDi)

print("\n")

CA=np.cov(A)

CB=np.cov(B)

print("Covariance matrix of First Matrix\n",CA)

print("Covariance matrix of Second Matrix\n",CB)

print("\n")

ECA=np.linalg.eigh(CA)

ECB=np.linalg.eigh(CB)

print("First array represents eigenvalues and second array represents eigenvectors")

print("\n")

print("covariance matrix eigenvalues eigenvectors of First Matrix\n",ECA)

print("\n")

print("covariance matrix eigenvalues eigenvectors of Second Matrix\n",ECB)

X = [[4,1,7],[2,1,8],[3 ,7,1]];

Y = [[6,8,1],[9,7,5],[2,3,1]];

result = [[0,0,0],[0,0,0],[0,0,0]];

for i in range(len(X)):

for j in range(len(Y[0])):

for k in range(len(Y)):

result[i][j] += X[i][k] * Y[k][j]

for r in result:

print(r)

Y = [[6,8,1],[9,7,5],[2,3,1]];

result = [[0,0,0],[0,0,0],[0,0,0]];

for i in range(len(X)):

for j in range(len(Y[0])):

for k in range(len(Y)):

result[i][j] += X[i][k] * Y[k][j]

for r in result:

print(r)

a=[[3, 4, 5,8, 8 ], [5, 6, 7], [7, 8, 9]]

def count(a):

j=0

n=0

for b in a:

j=len(b)

n=n+j

return n

t= count(a)

print "No elements in the nested list are:",t

def count(a):

j=0

n=0

for b in a:

j=len(b)

n=n+j

return n

t= count(a)

print "No elements in the nested list are:",t

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