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If Aa n dB are symmetric matrices of the...

If `Aa n dB` are symmetric matrices of the same order and `X=A B+B Aa n dY=A B-B A ,t h e n(X Y)^T` is equal to `X Y` b. `Y X` c. `-Y X` d. none of these

A

XY

B

YX

C

`-YX`

D

None of these

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C
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DISHA PUBLICATION-MATRICES-Exercise 2: Concept Applicator
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  2. For k=1/sqrt(50), the value of a, b, c such that PP' = I, where P=[(2/...

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

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

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

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

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

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  8. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

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

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

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

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

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

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

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

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

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

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

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  19. If A=[(1,0),(1//2,1)], A^(400) is equal to

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  20. Let A=[(0,alpha),(0,0)] and (A+I)^(50)-50A=[(a,b),(c,d)], find abc+abd...

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