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The matrix [(0, 5,-7),(-5, 0, 11),( 7,-1...

The matrix `[(0, 5,-7),(-5, 0, 11),( 7,-11, 0)]` is (a) a skew-symmetric matrix (b) a symmetric matrix (c) a diagonal matrix (d) an upper triangular matrix

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To determine the type of the given matrix \[ A = \begin{pmatrix} 0 & 5 & -7 \\ -5 & 0 & 11 \\ 7 & -11 & 0 \end{pmatrix} ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If a square matrix such that A^2=A , then (I+A)^3-7A is equal to A ...

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  2. If a matrix A is both symmetric and skew-symmetric, then A is a

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  3. The matrix [(0, 5,-7),(-5, 0, 11),( 7,-11, 0)] is (a) a skew-symmetr...

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  4. If A is a square matrix, then A A is a (a) skew-symmetric matrix (b)...

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  5. If A and B are symmetric matrices, then A B A is (a) symmetric m...

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  6. If A=[(5,x),( y,0)] and A=A^T , then

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

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

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

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

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  12. The number of all possible matrices of order 3xx3 with each entry 0...

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

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

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

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

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

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  18. The matrix A=[0 0 4 0 4 0 4 0 0] is a (a) square matrix (b) diagonal m...

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

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  20. If [2x+y4x5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , y=...

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