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If A(alpha,beta)=[[cosalpha,sinalpha,0],...

If `A(alpha,beta)=[[cosalpha,sinalpha,0],[-sinalpha,cosalpha,0],[ 0, 0,e^(beta)]],t h e nA(alpha,beta)^(-1)` is equal to a.`A(-alpha,-beta)` b. `A(-alpha,beta)` c. `A(alpha,-beta)` d. `A(alpha,beta)`

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. If adjB=A ,|P|=|Q|=1, then. adj(Q^(-1)B P^(-1)) is a.P Q b. Q A P c...

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  2. If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equa...

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  3. If A(alpha,beta)=[[cosalpha,sinalpha,0],[-sinalpha,cosalpha,0],[ 0, 0,...

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  4. If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B...

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  5. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

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  6. The equation [[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][(x) ,(y), (z)] =[(0),(0)...

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  7. If D(1) and D(2) are two 3xx3 diagonal matrices, then which of the fol...

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  8. If Aa n dB are symmetric and commute, then which of the following is/a...

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  9. If C is skew-symmetric matrix of order n and X is nxx1 column matrix, ...

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  10. Show that abs((a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,0):}=0 ...

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  11. Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equatio...

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  12. Let A=a0 be a matrix of order 3, where a(i j)=x ; ifi=j ,x in R, 1 if...

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  13. A skew-symmetric matrix A satisfies the relation A^2+I=O ,w h e r e , ...

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  14. If A B=Aa n dB A=B , then a. A^2B=A^2 b. B^2A=B^2 c. A B A=A d....

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  15. Each question has four choices a, b, c and d, out of which only one is...

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  16. IfD=d i ag[d1, d2, dn] , then prove that f(D)=d i ag[f(d1),f(d2), ,f(...

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  17. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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  18. If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0...

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  19. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

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  20. Elements of a matrix A of order 10xx10 are defined as a("ij")=omega^(i...

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