Sum of two unitary matrix is equal to every matrix? - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-19T21:30:03Z http://mathoverflow.net/feeds/question/36483 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/36483/sum-of-two-unitary-matrix-is-equal-to-every-matrix Sum of two unitary matrix is equal to every matrix? Mohsen 2010-08-23T19:21:53Z 2010-08-23T20:11:00Z <p>Let $R=M_{n}(Z_{2})$, can we write every matrices of $R$ as sum of two matrices of $GL_{n}(Z_{2})$?</p> http://mathoverflow.net/questions/36483/sum-of-two-unitary-matrix-is-equal-to-every-matrix/36487#36487 Answer by Pace Nielsen for Sum of two unitary matrix is equal to every matrix? Pace Nielsen 2010-08-23T20:11:00Z 2010-08-23T20:11:00Z <p>It appears you are asking whether $R$ is a 2-good ring. The answer is yes. You may find the paper "2-good rings" by Peter Vamos to be useful in giving you some background information.</p>