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Talk:Normal matrix are for discussion related to improving (a) an encyclopedia article in specific ways based on
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WP:RDMA. To partly answer your question, consider the
Frobenius norm on matrices and the fact that square n-by-n unitary matrices have Frobenius norm equal to the square root of n, whereas normal matrices of that size can have any nonnegative Frobenius norm.
Jasper Deng
(talk) 07:57, 20 February 2021 (UTC)