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let M be the skew symmetric orthogonal real matrix.Then only possible eigen values are
Asked by kakumanumanoj282 | 20 Apr, 2024, 18:07: PM
Expert Answer
If M is skew-symmetric , then we have
M = - MT ...........................(1)
where MT is transpose of matrix M .
If M is orthagonal , then
M × MT = I ............................(2)
where I is unit matrix .
from (1) and (2) , we get
M2 = - I
M = ( ± i) I =
Hence possible eigen values are ( ± i)
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