Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, an anti-diagonal matrix is a matrix where all the entries are zero except those on the diagonal going from the lower left corner to the upper right corner ( ), known as the anti-diagonal. More precisely, an n-by-n matrix A is an anti- diagonal matrix if the (i, j) element is zero for all i, j {1, …, n} with i + j n + 1. All anti- diagonal matrices are also persymmetric. The product of two anti-diagonal matrices is a diagonal matrix. Furthermore, the product of an anti-diagonal matrix with a diagonal matrix is anti-diagonal, as is the product of a diagonal matrix with an anti-diagonal matrix

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