File: t_Matrix_operators.expout

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file content (594 lines) | stat: -rw-r--r-- 13,863 bytes parent folder | download | duplicates (2)
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a= [[ 1   0   ]
 [ 0   0.5 ]]
a*s= [[ 5   0   ]
 [ 0   2.5 ]]
s*a= [[ 5   0   ]
 [ 0   2.5 ]]
a/s= [[ 0.2 0   ]
 [ 0   0.1 ]]
a*x= [6,3.5]
no pow for Matrix
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
no mul for Matrix ComplexMatrix
no add for Matrix ComplexMatrix
no sub for ComplexMatrix
no mul for Matrix HermitianMatrix
no add for Matrix HermitianMatrix
no sub for HermitianMatrix
no mul for Matrix TriangularComplexMatrix
no add for Matrix TriangularComplexMatrix
no sub for TriangularComplexMatrix
no mul for Matrix SquareComplexMatrix
no add for Matrix SquareComplexMatrix
no sub for SquareComplexMatrix
a= [[ 1   0   ]
 [ 0   0.5 ]]
a*s= [[ 5   0   ]
 [ 0   2.5 ]]
s*a= [[ 5   0   ]
 [ 0   2.5 ]]
a/s= [[ 0.2 0   ]
 [ 0   0.1 ]]
a*x= [6,3.5]
a**3= [[ 1     0     ]
 [ 0     0.125 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
no add for SquareMatrix Matrix
no sub for Matrix
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
no mul for SquareMatrix ComplexMatrix
no add for SquareMatrix ComplexMatrix
no sub for ComplexMatrix
no mul for SquareMatrix HermitianMatrix
no add for SquareMatrix HermitianMatrix
no sub for HermitianMatrix
no mul for SquareMatrix TriangularComplexMatrix
no add for SquareMatrix TriangularComplexMatrix
no sub for TriangularComplexMatrix
no mul for SquareMatrix SquareComplexMatrix
no add for SquareMatrix SquareComplexMatrix
no sub for SquareComplexMatrix
a= [[ 1   0   ]
 [ 0   0.5 ]]
a*s= [[ 5   0   ]
 [ 0   2.5 ]]
s*a= [[ 5   0   ]
 [ 0   2.5 ]]
a/s= [[ 0.2 0   ]
 [ 0   0.1 ]]
a*x= [6,3.5]
a**3= [[ 1     0     ]
 [ 0     0.125 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
no add for TriangularMatrix Matrix
no sub for Matrix
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
no mul for TriangularMatrix ComplexMatrix
no add for TriangularMatrix ComplexMatrix
no sub for ComplexMatrix
no mul for TriangularMatrix HermitianMatrix
no add for TriangularMatrix HermitianMatrix
no sub for HermitianMatrix
no mul for TriangularMatrix TriangularComplexMatrix
no add for TriangularMatrix TriangularComplexMatrix
no sub for TriangularComplexMatrix
no mul for TriangularMatrix SquareComplexMatrix
no add for TriangularMatrix SquareComplexMatrix
no sub for SquareComplexMatrix
a= [[ 1   0   ]
 [ 0   0.5 ]]
a*s= [[ 5   0   ]
 [ 0   2.5 ]]
s*a= [[ 5   0   ]
 [ 0   2.5 ]]
a/s= [[ 0.2 0   ]
 [ 0   0.1 ]]
a*x= [6,3.5]
a**3= [[ 1     0     ]
 [ 0     0.125 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
no mul for SymmetricMatrix ComplexMatrix
no add for SymmetricMatrix ComplexMatrix
no sub for ComplexMatrix
no mul for SymmetricMatrix HermitianMatrix
no add for SymmetricMatrix HermitianMatrix
no sub for HermitianMatrix
no mul for SymmetricMatrix TriangularComplexMatrix
no add for SymmetricMatrix TriangularComplexMatrix
no sub for TriangularComplexMatrix
no mul for SymmetricMatrix SquareComplexMatrix
no add for SymmetricMatrix SquareComplexMatrix
no sub for SquareComplexMatrix
a= [[ 1   0   ]
 [ 0   0.5 ]]
a*s= [[ 5   0   ]
 [ 0   2.5 ]]
s*a= [[ 5   0   ]
 [ 0   2.5 ]]
a/s= [[ 0.2 0   ]
 [ 0   0.1 ]]
a*x= [6,3.5]
a**3= [[ 1     0     ]
 [ 0     0.125 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
no mul for CovarianceMatrix ComplexMatrix
no add for CovarianceMatrix ComplexMatrix
no sub for ComplexMatrix
no mul for CovarianceMatrix HermitianMatrix
no add for CovarianceMatrix HermitianMatrix
no sub for HermitianMatrix
no mul for CovarianceMatrix TriangularComplexMatrix
no add for CovarianceMatrix TriangularComplexMatrix
no sub for TriangularComplexMatrix
no mul for CovarianceMatrix SquareComplexMatrix
no add for CovarianceMatrix SquareComplexMatrix
no sub for SquareComplexMatrix
a= [[ 1   0   ]
 [ 0   0.5 ]]
a*s= [[ 5   0   ]
 [ 0   2.5 ]]
s*a= [[ 5   0   ]
 [ 0   2.5 ]]
a/s= [[ 0.2 0   ]
 [ 0   0.1 ]]
a*x= [6,3.5]
a**3= [[ 1     0     ]
 [ 0     0.125 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
a*b= [[ 1    0    ]
 [ 0    0.25 ]]
a+b= [[ 2 0 ]
 [ 0 1 ]]
a-b= [[ 0 0 ]
 [ 0 0 ]]
no mul for CorrelationMatrix ComplexMatrix
no add for CorrelationMatrix ComplexMatrix
no sub for ComplexMatrix
no mul for CorrelationMatrix HermitianMatrix
no add for CorrelationMatrix HermitianMatrix
no sub for HermitianMatrix
no mul for CorrelationMatrix TriangularComplexMatrix
no add for CorrelationMatrix TriangularComplexMatrix
no sub for TriangularComplexMatrix
no mul for CorrelationMatrix SquareComplexMatrix
no add for CorrelationMatrix SquareComplexMatrix
no sub for SquareComplexMatrix
a= [[ (1,0)      (0,0)      ]
 [ (0,0)         (0.5,0) ]]
a*s= [[ (5,0)      (0,0)      ]
 [ (0,0)         (2.5,0) ]]
s*a= [[ (5,0)      (0,0)      ]
 [ (0,0)         (2.5,0) ]]
a/s= [[    (0.2,0) (0,0)      ]
 [ (0,0)         (0.1,0) ]]
a*x= [(6,0),(3.5,0)]
no pow for ComplexMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,-0)        (0,-0)        ]
 [ (0,-0)            (0.25,-0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a= [[ (1,0)      (0,0)      ]
 [ (0,0)         (0.5,0) ]]
a*s= [[ (5,0)      (0,0)      ]
 [ (0,0)         (2.5,0) ]]
s*a= [[ (5,0)      (0,0)      ]
 [ (0,0)         (2.5,0) ]]
a/s= [[    (0.2,0) (0,0)      ]
 [ (0,0)         (0.1,0) ]]
a*x= [(6,0),(3.5,0)]
a**3= [[ (1,0)        (0,0)        ]
 [ (0,0)           (0.125,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for HermitianMatrix Matrix
no sub for Matrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for HermitianMatrix SquareMatrix
no sub for SquareMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for HermitianMatrix TriangularMatrix
no sub for TriangularMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for HermitianMatrix SymmetricMatrix
no sub for SymmetricMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for HermitianMatrix CovarianceMatrix
no sub for CovarianceMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for HermitianMatrix CorrelationMatrix
no sub for CorrelationMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for HermitianMatrix ComplexMatrix
no sub for ComplexMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a= [[ (1,0)      (0,0)      ]
 [ (0,0)         (0.5,0) ]]
a*s= [[ (5,0)      (0,0)      ]
 [ (0,0)         (2.5,0) ]]
s*a= [[ (5,0)      (0,0)      ]
 [ (0,0)         (2.5,0) ]]
a/s= [[    (0.2,0) (0,0)      ]
 [ (0,0)         (0.1,0) ]]
a*x= [(6,0),(3.5,0)]
a**3= [[ (1,0)        (0,0)        ]
 [ (0,0)           (0.125,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for TriangularComplexMatrix Matrix
no sub for Matrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for TriangularComplexMatrix SquareMatrix
no sub for SquareMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for TriangularComplexMatrix TriangularMatrix
no sub for TriangularMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for TriangularComplexMatrix SymmetricMatrix
no sub for SymmetricMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for TriangularComplexMatrix CovarianceMatrix
no sub for CovarianceMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for TriangularComplexMatrix CorrelationMatrix
no sub for CorrelationMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for TriangularComplexMatrix ComplexMatrix
no sub for ComplexMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a= [[ (1,0)      (0,0)      ]
 [ (0,0)         (0.5,0) ]]
a*s= [[ (5,0)      (0,0)      ]
 [ (0,0)         (2.5,0) ]]
s*a= [[ (5,0)      (0,0)      ]
 [ (0,0)         (2.5,0) ]]
a/s= [[    (0.2,0) (0,0)      ]
 [ (0,0)         (0.1,0) ]]
a*x= [(6,0),(3.5,0)]
a**3= [[ (1,0)        (0,0)        ]
 [ (0,0)           (0.125,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for SquareComplexMatrix Matrix
no sub for Matrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for SquareComplexMatrix SquareMatrix
no sub for SquareMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for SquareComplexMatrix TriangularMatrix
no sub for TriangularMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for SquareComplexMatrix SymmetricMatrix
no sub for SymmetricMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for SquareComplexMatrix CovarianceMatrix
no sub for CovarianceMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for SquareComplexMatrix CorrelationMatrix
no sub for CorrelationMatrix
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
no add for SquareComplexMatrix ComplexMatrix
no sub for ComplexMatrix
a*b= [[ (1,-0)        (0,-0)        ]
 [ (0,-0)            (0.25,-0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
a*b= [[ (1,0)       (0,0)       ]
 [ (0,0)          (0.25,0) ]]
a+b= [[ (2,0) (0,0) ]
 [ (0,0) (1,0) ]]
a-b= [[ (0,0) (0,0) ]
 [ (0,0) (0,0) ]]
sm * w= [2.6,6.3]
sq * w= [2.6,6.3]
sm * w= [(2,-0.6),(6,0.3)]
sq * w= [(2,-0.6),(6,0.3)]