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If A is a skew-symmetric matrix and n...

If `A` is a skew-symmetric matrix and `n` is an even natural number, write whether `A^n` is symmetric or skew-symmetric matrix or neither of the two

A

a symetric matrix

B

a skew-symmetric matrix

C

a diagonal matrix

D

none of these

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The correct Answer is:
A
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RESONANCE-MATRICES & DETERMINANT-EXERCISE-2
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  8. If A is a skew-symmetric matrix and n is an even natural number,...

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  9. Number of 3 xx 3 non symmeteric matrix A such that A^(T)=A^(2)-I and |...

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  10. Matrix A is such that A^(2)=2A-I, where I is the identify matrix. Then...

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  11. If P=[[sqrt(3)/2,1/2],[-1/2,sqrt(3)/2]], A=[[1,1],[0,1]] and Q=PAP^T a...

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  12. Let Delta =|(sin theta cos phi, sin theta sin phi, cos theta), (cos th...

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  13. Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2c^2), (1+ab+a^2b^2, 1+b^2+b^4,...

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  14. If D=|{:(,a^(2)+1,ab,ac),(,ba,b^(2)+1,bc),(,ca,cb,c^(2)+1):}| then D=

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  15. Value of the Delta=|{:(,a^(3)-x,a^(4)-x,a^(5)-x),(,a^(5)-x,a^(6)-x,a^(...

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  16. If Delta1=|[2a,b,e],[2d,e,f],[4x,2y,2z]|,Delta2=|[f,2d,e],[2z,4x,2y],[...

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