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September 5, 2017 12:50
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Matrix Minor, Determinant, Transpose, Multiplication and Inverse -Python
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def transpose(matrix): | |
return [[row[i] for row in matrix] for i in range(len(matrix[0]))] | |
def multip(X, Y): | |
return [[sum(a*b for a,b in zip(X_row,Y_col)) for Y_col in zip(*Y)] for X_row in X] | |
def getMatrixMinor(m,i,j): | |
return [row[:j] + row[j+1:] for row in (m[:i]+m[i+1:])] | |
def getMatrixDeternminant(m): | |
#base case for 2x2 matrix | |
if len(m) == 2: | |
return (m[0][0]*m[1][1]-m[0][1]*m[1][0])*1.0 | |
determinant = 0 | |
for c in range(len(m)): | |
determinant += ((-1.0)**c)*m[0][c]*getMatrixDeternminant(getMatrixMinor(m,0,c)) | |
return determinant | |
def getMatrixInverse(m): | |
determinant = getMatrixDeternminant(m) | |
#special case for 2x2 matrix: | |
if len(m) == 2: | |
return [[m[1][1]/determinant, -1*m[0][1]/determinant], | |
[-1*m[1][0]/determinant, m[0][0]/determinant]] | |
#find matrix of cofactors | |
cofactors = [] | |
for r in range(len(m)): | |
cofactorRow = [] | |
for c in range(len(m)): | |
minor = getMatrixMinor(m,r,c) | |
cofactorRow.append(((-1)**(r+c)) * getMatrixDeternminant(minor)) | |
cofactors.append(cofactorRow) | |
cofactors = transpose(cofactors) | |
for r in range(len(cofactors)): | |
for c in range(len(cofactors)): | |
cofactors[r][c] = cofactors[r][c]/determinant | |
return cofactors |
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Thank for your gist. Helped me a lot. 👍