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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, 06:07: PM
answered-by-expert 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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