`scipy.linalg._special_matrices:invpascal`

Signature

def invpascal ( n , kind = symmetric , exact = True )

Returns the inverse of the n x n Pascal matrix.

The Pascal matrix is a matrix containing the binomial coefficients as its elements.

n : int: The size of the matrix to create; that is, the result is an n x n matrix.
kind : str, optional: Must be one of 'symmetric', 'lower', or 'upper'. Default is 'symmetric'.
exact : bool, optional: If exact is True, the result is either an array of type numpy.int64 (if n <= 35) or an object array of Python integers. If exact is False, the coefficients in the matrix are computed using scipy.special.comb with exact=False. The result will be a floating point array, and for large n, the values in the array will not be the exact coefficients.

from scipy.linalg import invpascal, pascal
invp = invpascal(5)
invp

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p = pascal(5)

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p.dot(invp)

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An example of the use of `kind` and `exact`:

invpascal(5, kind='lower', exact=False)

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