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The eigen values of a skew-symmetric matrix are
(a) Always zero                      (c) Either zero or pure imaginary
(b) always pure imaginary      (d) always real

if a matrix is skew symmetric then the elements in diagonal should be zero.

A= |0 q| 
      |r  0|
Now solving for k |A-ki|=0, where i is identity matrix, we get q=0, r=0, how does this tell us about the eigen values k
PS: can't use lambda, so im using k here

in Mathematical Logic by Active (1.1k points) | 1.2k views

1 Answer

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Each eigenvalue of the real skew-symmetric matrix A is either 0 or a purely imaginary number.

by Active (2.3k points)
i already gone through that explanation, had trouble understanding, , could you let me understand the solution or could you share your working here.
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