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If A1, A2, , A(2n-1)a r en skew-symmetr...

If `A_1, A_2, , A_(2n-1)a r en` skew-symmetric matrices of same order, then `B=sum_(r=1)^n(2r-1)(A^(2r-1))^(2r-1)` will be symmetric skew-symmetric neither symmetric nor skew-symmetric data not adequate

A

symmetric

B

skew-symmetric

C

neither symmetric nor skew-symmetric

D

data is adequate

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The correct Answer is:
B
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DISHA PUBLICATION-MATRICES-Exercise 2: Concept Applicator
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  2. If A is a square matrix of order m, then the matrix B of same order is...

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  3. If A1, A2, , A(2n-1)a r en skew-symmetric matrices of same order, the...

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  4. For k=1/sqrt(50), the value of a, b, c such that PP' = I, where P=[(2/...

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  5. IfA^(k)= 0 (Ais nilpotent with index k), (I-A)^(p)=I+A+A^(2)+. . .+A^(...

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  6. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

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  7. If A=[(1,-1),(2,-1)] and B=[(1,a),(4,b)] and (A+B)^(2)=A^(2)+B^(2). ...

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  8. If A is a square matrix such that A A^T=I=A^TA, then A is

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  9. If Aa n dB are symmetric matrices of the same order and X=A B+B Aa n d...

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  10. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

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  11. Given that [(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega...

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  12. If {:A=[(alpha,0),(1,1)]andB=[(1,0),(5,1)]:}, then te value of alpha f...

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  13. [[i,0,0],[0,i,0],[0,0,i]] then A^(4n+1) =.... n in N

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  14. The matrix A=[0-5 8 5 0 12-8-12 0] is a (a) diagonal matrix (b) symmet...

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  15. If A=[(alpha,0),(1,1)] and B=[(9,a),(b,c)] and A^(2)=B, then the value...

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  16. Find the value of k so that A^2=8A+kI where A=[(1,0),(-1,7)].

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  17. A square matrix P satisfies P^(2)=I-P where I is identity matrix. If P...

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  18. If A(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then

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  19. If B is an idempotent matrix, and A=I-B, then

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  20. If B=[(3,4),(4,3)] and C=[(3,-4),(-2,3)] and X=BC, find X^(n)

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