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Prove that inverse of a skew-symmetric m...

Prove that inverse of a skew-symmetric matrix (if it exists) is skew-symmetric.

A

a symmetric matrix

B

a skew -symmetric matrix

C

a diagonal matrix

D

none of these

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B
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
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  2. The inverse of a symmetric matrix ( if it exists ) is

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  3. Prove that inverse of a skew-symmetric matrix (if it exists) is skew-s...

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  4. The inverse of a skew symmetric matrix of odd order is a symmetric mat...

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  5. If A is an orthogonal matrix, then

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  6. If A = [(1,0,2),(5,1,x),(1,1,1)] is a singular matrix then x is equal ...

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  9. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

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  10. If A, B, and C are three square matrices of the same order, then AB=AC...

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  11. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a m...

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  12. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

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  13. [{:(,0,1,2),(,1,2,3),(,3,a,1):}],=A^(-1)=[{:(,1//2,-1//2,1//2),(,-4,3,...

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  14. Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible f...

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  15. If A =[(1,2),(3,4)] then A^(2)-5A equals

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  16. Solve system of linear equations, using matrix method, x y" "+" "2...

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  17. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

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  18. Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot If B is...

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  19. If A=[(a,b),(b,a0] and A^2=[(alpha, beta0,(beta, alpha)] then (A) alph...

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  20. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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