Can you plz help me in solving this question?

Multiple options can be correct.

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1 Answer
Apr 16, 2018

See below.

Explanation:

If Y is skew-symmetric then Y=Y
If Z is symmetric then Z=Z

a)

(Y3Z4Z4Y3)=(Z4(Y)3(Y)3Z4)=Z4Y3Y3Z4=(Y3Z4Z4Y3) hence a) is a symmetric matrix.

b)

X44+Y44=(XX)22+(YY)22 which is a symmetric matrix.

c)

X4Z3Z3X4=(XX)2Z3Z3(XX.)2=(XX)2Z3Z3(XX)2=((XX)2Z3Z3(XX)2) hence this is a skew-symmetric matrix

d)

X23+Y23=(X)23+(Y)23=(X)23(Y)23=(X23+Y23) hence d) is skew-symmetric.