CBSE Class 12-science Answered
Skew Symmetric Matrix
Asked by | 14 Mar, 2009, 06:11: PM
Expert Answer
in this basically you need to show that square of a skew symmetric matrix is symmetric because then, all the even powers can be shown to be symmetric.
Next,
you have to show that the product of a skew symmetric and a symmetric matrix is skew symmetric, so then you can show that all odd powers of a skew symm matrix are skew symm.
This can be done as follows.
If A is a skew symmetric matrix ,
show that,
A*A is symmetric.
Then also show that (A*A)*A=a symmetric matrix * a skew symm matrix is skew symm.Then every even power being a symm matrix, its multiplication with A will give a skew symm matrix.
Answered by | 20 Mar, 2009, 09:09: PM
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