Click near the matrix to delete or retrieve rows and columns.

Submatrix order:  m = .

The Toeplitz minor shown on the left can be expressed as the skew Schur polynomial s_λ/μ,
where λ and μ are the following integer partitions:

λ = ,

μ = .

They form the following skew partition and are represented by the following diagram:

 = 

The skew Schur polynomial s_λ/μ can also be written in the form s_α/β, where

 = 

By the Jacobi–Trudi formula, s_λ/μ = det [h_{λ(j)−μ(k)+k−j}]_{1 ≤ j,k ≤ len(λ)},
i.e. s_λ/μ can be computed as the determinant of the following matrix:

Let us verify that the formula is correct in this example.
Compute the conjugate skew partition corresponding to the transposed diagram:

λ' = ,   μ' = .

By the dual Jacobi–Trudi formula, s_λ/μ = det [e_{λ'(j)−μ'(k)+k−j}]_{1 ≤ j,k ≤ len(λ')},
i.e. s_λ/μ equals the determinant of the following matrix constructed from λ' and μ'.