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Let X \ a n d \ Y be two arbitrary, 3xx3...

Let `X \ a n d \ Y` be two arbitrary, `3xx3` , non-zero, skew-symmetric matrices and `Z` be an arbitrary `3xx3` , non-zero, symmetric matrix. Then which of the following matrices is (are) skew symmetric?

A

`Y^(3)Z^(4)-Z^(4)Y^(3)`

B

`X^(44)+Y^(44)`

C

`X^(4)Z^(3)-Z^(3)X^(4)`

D

`X^(23)+Y^(23)`

Text Solution

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The correct Answer is:
C, D
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RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-3
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  2. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  3. Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1...

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  4. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

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  5. If P is a 3xx3 matrix such that P^(T) = 2 P + I , where P^(T) is the...

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  9. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

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  10. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

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  11. Which of the following values of alpha satisfying the equation |(1+alp...

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  19. Let S be the set of all column matrices [(b(1)),(b(2)),(b(3))] such th...

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