< Matrices Básicas | Operações Algébricas | Copiar Matriz >

Operações Algébricas

Adicionar Matrices:

Python Listing: ../Matrix.py.

def Matrices_Add(A,B):
    if (   len(A)!=len(B)   ):
        print "Matrices_Add: Matrices does not have same no of rows"
        exit()

    C=[]
    for i in range( len(A) ):
        C.append(  []  )
        if (   len(A[i])!=len(B[i])   ):
            print "Matrices_Add: Matrices does not have same no of columns"
            exit()

        for j in range( len(A[i]) ):
            C[i].append(   1.0*(A[i][j]+B[i][j])   )
            
    return C

Subtrair Matrices:

Python Listing: ../Matrix.py.

def Matrices_Sub(A,B):
    if (   len(A)!=len(B)   ):
        print "Matrices_Add: Matrices does not have same no of lines"
        exit()

    C=[]
    for i in range( len(A) ):
        C.append(  []  )
        if (   len(A[i])!=len(B[i])   ):
            print "Matrices_Add: Matrices does not have same no of columns"
            exit()

        for j in range( len(A[i]) ):
            C[i].append(   1.0*(A[i][j]-B[i][j])   )
            
    return C

Multiplicar Matrices:

Python Listing: ../Matrix.py.

def Matrix_Mult_Scalar(A,a):
    C=[]
    for i in range( len(A) ):
        C.append(  []  )
        for j in range( len(A[i]) ):
            C[i].append(   a*A[i][j]  )
            
    return C

def Matrix_Mult_Vector(A,v):
    if (   len(A[0])!=len(v)   ):
        print "Matrices_Mult_Vector: Matrices and Vector has incompatible dimensions"
        exit()
    w=[]
    for i in range( len(A) ):
        sum=0.0
        for j in range( len(A[i]) ):
            sum+=1.0*A[i][j]*v[j]

        w.append(sum)
    return w

def Matrices_Mult(A,B):
    if (   len(A[0])!=len(B)   ):
        print "Matrices_Mult: Matrices has incompatible dimensions"
        exit()

    C=[]
    for i in range( len(A) ):
        C.append( [] )
        for j in range( len(B[0]) ):
            sum=0.0
            for k in range( len(B) ):
                sum+=1.0*A[i][k]*B[k][j]

            C[i].append(sum)
    return C

< Matrices Básicas | Operações Algébricas | Copiar Matriz >