ToeplitzMatrix

ToeplitzMatrix[n] gives the n×n Toeplitz matrix with first row and first column being successive integers.

• ToeplitzMatrix[{c1, c2, ..., cn}] gives the Toeplitz matrix whose first column consists of entries c1, c2, ....
• ToeplitzMatrix[{c1, c2, ..., cm}, {r1, r2, ..., rn}] gives the Toeplitz matrix with entries ci down the first column, and ri across the first row.

Examples

Create a 4×4 Toeplitz matrix:

ToeplitzMatrix[4] // MatrixForm

Specify the first column:

ToeplitzMatrix[{a, b, c, d}] // MatrixForm

Specify both first column and first row:

ToeplitzMatrix[{1, 2, 3}, {1, 4, 5, 6}] // MatrixForm

Please visit the official Wolfram Language Reference for more details.