Pascal Matrix
Creates a Pascal matrix.
pascal(n)
n |
an integer value, the dimension of the square matrix. |
The function pascal generates a Pascal matrix of order n
which is a symmetric, positive, definite matrix with integer entries
made up from Pascal's triangle. The determinant of a Pascal matrix is 1.
The inverse of a Pascal matrix has integer entries. If lambda
is an eigenvalue of a Pascal matrix, then 1/lambda is also an
eigenvalue of the matrix. Pascal matrices are ill-conditioned.
Call G.S., Velleman D.J., (1993); Pascal's matrices, American Mathematical Monthly 100, 372–376.
Edelman A., Strang G., (2004); Pascal Matrices, American Mathematical Monthly 111, 361–385.
## Create Pascal Matrix: P = pascal(5) P ## Determinant det(pascal(5)) det(pascal(10)) det(pascal(15)) det(pascal(20))
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