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If A=[a(i j)] is a square matrix of ev...

If `A=[a_(i j)]` is a square matrix of even order such that `a_(i j)=i^2-j^2` , then (a) `A` is a skew-symmetric matrix and `|A|=0` (b) `A` is symmetric matrix and `|A|` is a square (c) `A` is symmetric matrix and `|A|=0` (d) none of these

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
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  2. If A is 3xx4 matrix and B is a matrix such that A^T B and B A^T are bo...

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  3. If A=[a(i j)] is a square matrix of even order such that a(i j)=i^2-...

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  4. If A=[costheta-sinthetasinthetacostheta] , then A^T+A=I2 , if theta=np...

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  5. If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a s...

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  6. Out of the following matrices, choose that matrix which is a scalar...

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

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

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

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

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

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

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

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

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

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

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