A = pascal(n)
A = pascal(n,1)
A = pascal(n,2)
A = pascal(n) returns a Pascal's Matrix of order
a symmetric positive definite matrix with integer entries taken from
Pascal's triangle. The inverse of
A has integer
A = pascal(n,2) returns
a transposed and permuted version of
a cube root of the identity matrix.
Compute the fourth-order Pascal matrix.
A = pascal(4)
A = 1 1 1 1 1 2 3 4 1 3 6 10 1 4 10 20
Compute the lower triangular Cholesky factor of the third-order Pascal matrix and verify it is involutary.
A = pascal(3,1)
A = 1 0 0 1 -1 0 1 -2 1
ans = 1 0 0 1 -1 0 1 -2 1
Pascal's triangle is a triangle formed by rows of numbers.
The first row has entry
1. Each succeeding row
is formed by adding adjacent entries of the previous row, substituting
0 where there is no adjacent entry. Pascal's
matrix is generated by selecting the portion of Pascal's triangle
that corresponds to the specified matrix dimensions, as outlined in
the graphic. The matrix outlined corresponds to the MATLAB® command