Find the values of x, y and Z such the matrix below is skew symmetric. 0 X 3 2 y -1 Z

Question

Find the values of x, y and Z such the matrix below is skew symmetric.
           0   X    3
           2   y   -1
           Z   1    0

• Give an example of a symmetric and a skew 
    symmetric 3 by 3 matrix.
•Prove that A² is symmetric whenever A is skew 
   symmetric.
• Determine an expression for det(A) in terms of 
   det(AT) if A is a square skew symmetric.
•Assume that A is an odd order skew symmetric 
   matrix. Prove that det(A) is an odd function
   in this case.

Kunduz · Accepted Answer

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