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If A and B are symmetric matrices of the...

If A and B are symmetric matrices of the same order and `X=AB+BA` and `Y=AB-BA`, then `(XY)^(T)` is equal to

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CENGAGE PUBLICATION-MATRICES-All Questions
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  2. If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If A is an invertible matrix, then (a d jdotA^(-1)) is equal to a.[a ...

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  18. If A=(a(i j))(nxxn) and f is a function, we define f(A)=((f(a(i j))))(...

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  19. Suppose a1, a2, are real numbers, with a1!=0. If a1, a2,a3, are in A...

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  20. If A,B,C are three square matrices of the same order, then A B=A C =>...

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