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If `A` and `B` are matrices of the same order, then `A B^T-B A^T` is a (a) skew-symmetric matrix (b) null matrix (c) unit matrix (d) symmetric matrix

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
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  2. The number of all possible matrices of order 3xx3 with each entry 0...

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  3. Which of the given values of x and y make the following pairs ...

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  4. If A=[(0, 2),( 3,-4)] and k A=[(0, 3a),(2b, 24)] , then the values o...

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  5. If I=[(1 ,0),( 0, 1)] , J=[(0, 1),(-1 ,0)] and B=[(costheta,sintheta...

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  6. The trace of the matrix A=[(1,-5, 7),( 0, 7, 9),( 11 ,8, 9)] is (...

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  7. If A=[a(i j)] is a scalar matrix of order nxxn such that a(i i)=k f...

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  8. The matrix A=[[0, 0, 4] ,[0 ,4, 0] ,[4 ,0, 0]] is a (a) square matrix...

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  9. The number of possible matrices of order 3xx3 with each entry 2 or ...

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  10. If [2x+y,4x,5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , ...

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  11. If A is a square matrix such that A^2=I , then (A-I)^3+(A+I)^3-7A is...

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  12. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

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  13. If A is a matrix of order mxxn and B is a matrix such that A B^T and B...

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  14. If A and B are matrices of the same order, then A B^T-B A^T is a (a)...

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  15. If matrix A=([a(i j)])(2xx2) , where a(i j)={1,\ if\ i!=j0,\ if\ i=j ,...

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  16. If A=1/pi[[sin^(-1)(pix),tan^(-1)(x/pi)], [sin^(-1)(x/pi),cot^(-1)(pix...

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  17. If A and B are square matrices of the same order, then (A+B)(A-B) i...

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  18. If A=[(2,-1,3),( -4,5 ,1)] and B=[(2 ,3 ),( 4,-2),( 1 ,5)] , then ...

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  19. The matrix A=[(0,-5, 8),( 5, 0, 12),(-8,-12, 0)] is a (a) diagonal m...

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  20. The matrix A=[(1, 0, 0),( 0, 2, 0),( 0, 0, 4)] is (a) identity matri...

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