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If F(x)=[("cos"x,-sin x,0),(sin x,cos x,...

If `F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)]` and `G(y)=[(cos y,0,sin y),(0,1,0),(-sin y,0,cos y)]`, then `[F(x) G(y)]^(-1)` is equal to

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. IfD=d i ag[d1, d2, dn] , then prove that f(D)=d i ag[f(d1),f(d2), ,f(...

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

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

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

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  6. If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b...

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  7. If A and B are symmetric matrices of the same order and X=AB+BA and Y=...

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  8. The number of solutions of the matrix equation X^2=[[1, 1],[ 2, 3]] is...

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  9. If A^2-A+I=0, then the inverse of A is a. A^(-2) b. A+I c. I-A d. A-I

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  10. If [[2, 1],[ 3, 2]]A[[-3 ,2],[ 5,-3]]=[[1 ,0],[ 0, 1]], then "A= (...

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  11. If A and B are two nonzero square matrices of the same order such that...

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  12. Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt...

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  13. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

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  14. evaluate: int1/((x^2+1)(x^2+4))dx

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  15. Let M be a 2xx2 symmetric matrix with integer entries. Then M is inver...

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  16. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

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  17. If B is an idempotent matrix, and A=I-B , then a. A^2=A b. A^2=I ...

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  18. If A^(-1)=[[1,-1, 2],[0, 3,1],[ 0 ,0,-1/3]] , then |A|=-1 b. adj A=[[-...

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  19. If [(1,0,0),(0,1,0),(0,0,1)][(x),(y),(z)]=[(1),(-1),(0)] , find x ,\ y...

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  20. Which of the following statements is/are true about square matrix A or...

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