Anti-Diagonal Matrix

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Hi just a quick question. Can a anti-diagonal have zero in its diagonal? I have this definition in my paper.

"An anti-diagonal matrix is a square matrix where all the values are zeroes except those on the anti-diagonal, i.e. those running from the lower left corner to the upper right corner. There is no restriction on what values can appear on the anti-diagonal. "

The 1st and last line are confusing to whether a zero is valid in the diagonal