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If A is a square matrix, then A - A' is ...

If A is a square matrix, then A - A' is a

A

diagonal matrix

B

skew symmetric matrix

C

symmetric matrix

D

none of these

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The correct Answer is:
A
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KC SINHA ENGLISH-MATRICES - FOR COMPETITION-Exercise
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  2. The adjoint of the matrix [(2,5),(3,1)] is (A) [(2,5),(3,1)] (B) [(1,-...

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  5. The matrix X in the equation AX=B, such that A= [(1,3),(0,1)] and B= [...

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  6. If [(1,a,2),(1,2,5),(2,1,1)] is non invertible then a= (A) 2 (B) 1 (C)...

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  7. Using properties of determinant, if |(-a^2,ab,ac),(ab,-b^2,bc),(ac,bc,...

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  8. If A=[(1,tan(theta/2)),(-tan(theta/2),1)] and AB=I, then B= (A) {cos^2...

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  10. If A is a non singular square matrix 3 then |adj(A^3)| equals (A) |A|^...

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  11. If A is a square matrix of order n xx n and k is a scalar, then adj (k...

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  12. If A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] , then the trace of the matrix A...

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  13. If A=[(1,0),(2,0)] and B=[(0,0),(1,12)] then= (A) AB=0, BA=0 (B) AB=0,...

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  16. If matrix AB=0, then A=0 or B =0 or both A and B are null matrices.

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  17. The matrix [0 5-7-5 0 11 7-11 0] is (a) a skew-symmetric matrix (b) a ...

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  18. A=[a(ij)] (mxxn) is a square matrix , if :

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  19. If A=[(2,2),(-3,2)] and B=[(0,-1),(1,0)] then (B^-1A^-1)^-1= (A) [(2,...

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