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Construct a 3xx2 matrix A=[a(i j)] whose...

Construct a `3xx2` matrix `A=[a_(i j)]` whose elements are given by `a_(i j)=e^(i x)sinj x` (ii) `a_(i j)=e^(-i x)cos(pi/2i+j x)`

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`A=[[e^x sinx, e^x sin2x], [e^(2x) sinx, e^(2x) sin2x], [e^(3x) sinx, e^(3x) sin2x]]`
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. Construct a 2xx2 matrix A=[a(i j)] whose elements are given by a(i ...

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  2. Construct a 2xx3 matrix A=[a(i j)] whose elements are given by a(i ...

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  3. Construct a 3xx2 matrix A=[a(i j)] whose elements are given by a(i ...

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  4. Find x ,\ y ,\ z and w such that [(x-y,2z+w),(2x-y,2x+w)]=[(5, 3 ),(...

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  5. Consider the following information regarding the number of men and ...

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  6. Find Value of K, for which A =[(K, 8),( 4, 2K)] is a singular matrix i...

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  7. For what values of x and y are the following matrices equal? A=[...

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  8. If a matrix has 8 elements, what are the possible orders it can hav...

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  9. If A=[a(i j)]=[(2, 3,-5),( 1, 4, 9),( 0, 7,-2)] and B=[b(i j)]=[(2,-1...

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  10. Let A be a matrix of order 3xx4 . If R1 denotes the first row of A ...

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  11. Construct a 2xx3 matrix A=[a(i j)] whose elements a(i j) are given by:...

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  12. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by:...

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  13. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by:...

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  14. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by:...

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  15. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by:...

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  16. Construct a 3xx4 matrix A=[a(i j)] whose elements a(i j) are given by:...

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  17. Construct a 3xx4 matrix A=[a(i j)] whose elements a(i j) are given by:...

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  18. Construct a 4xx3 matrix A=[a(i j)] whose elements a(i j) are given ...

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  19. Find x,y,a and b if [[3x+4y,2,x-2y],[a+b,2a-b,-1]]=[[2,2,4],[5,-5,-1]]

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  20. Find x ,\ y ,\ a and b if [(2x-3y ,a-b,3),(1,x+4y,3a+4b)]=[(1,-2, 3)...

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