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(b) Recall that a square matrix X is called symmetric if XT = X, and skew- symmetric if XT = -X. Let A € M.(R). i. Show
Posted: Wed May 11, 2022 9:15 pm
by answerhappygod
- B Recall That A Square Matrix X Is Called Symmetric If Xt X And Skew Symmetric If Xt X Let A M R I Show 1 (10.89 KiB) Viewed 43 times
(b) Recall that a square matrix X is called symmetric if XT = X, and skew- symmetric if XT = -X. Let A € M.(R). i. Show that }(4+A”) is symmetric and }(4- A) is skew-symmetrie. ii. Show that every matrix can be obtained as the sum of a symmetric matrix and a skew-symmetric matrix.