Thread: Skew Symmetric Matrix

Hi,

I would like some guidance on how to approach this question please:

Question: Let B be an n*n skew symmetric matrix and let A = I + B. Show that

If is a skew symmetric matrix, then . And . Using the property of skew symmetric matrix as stated, you should be able to work it out now.

Thanks for your reply Sambit.

I am still trying to figure out how you got

Here is what I understand so far:

(this is the definition of a skew symmetric matrix)

(this is given)

If , then (does this make any sense?)

Therefore, (is this correct?)

Originally Posted by sparky

If , then

This final result is correct, but not the intermediate step. It comes as follows: But note that since A is not mentioned as a skew-symmetric matrix.

Thanks Sambit