Asquare matrix a e rn is said to be skew-symmetric if a =-a prove that if a is skew-symmetric, then x'ax = 0 for all x e r". (hint the t t t quantity x'ax is scalar so that (x'ax) = x'ax)

You can use the given hint as follows:

Step-by-step explanation:

Let be a square matrix that is a skew-symmetric matrix. Since the matrix is matrix of size then it can be identified with an scalar. It is clear that . Then applying the properties of transposition we have

Then,

Then,

For all column vector of size .

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step-by-step explanation: