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Construct a 3xx4 matrix A=[a(i j)] whose...

Construct a `3xx4` matrix `A=[a_(i j)]` whose elements `a_(i j)` are given by: (i) `a_(i j)=i+j` (ii) `a_(i j)=1-j` (iii) `a_(i j)=2i`

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To construct the \(3 \times 4\) matrix \(A = [a_{ij}]\) based on the given conditions, we will evaluate each part step by step. ### Part (i): \(a_{ij} = i + j\) 1. **Define the matrix structure**: We know that matrix \(A\) will have 3 rows and 4 columns. \[ A = \begin{bmatrix} a_{11} & a_{12} & a_{13} & a_{14} \\ ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by:...

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

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

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

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

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

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  8. Find the values of a ,\ b ,\ c and d from the following equations...

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  9. Find x ,\ y and z so that A=B , where A=[x-2 3 2z 18 z y+2 6z] , B=[y ...

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  10. If [(x,3x-y),(2x+z,3y-omega)]=[(3 ,2 ),(4 ,7)] , find x ,\ y ,\ z ,\ ...

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  11. If [(x-y ,z),(2x-y,omega)]=[(-1 ,4),( 0 ,5)] , find x ,\ y ,\ z ,\ om...

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  12. If [(x+3,z+4 ,2y-7 ),(4x+6,a-1, 0),(b-3 ,3b, z+2c)]=[(0, 6 ,3y-2 ),(2x...

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  13. If [2x+1 5x0y^2+1]=[x+3 10 0 26] , find the value of (x+y) .

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  14. If [x y4z+6x+y]=[8w0 6] , then find the values of x ,\ y ,\ z\ a n ...

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  15. Give an example of (i) a row matrix which is also a column matrix

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  16. The sales figure of two car dealers during January 2013 showed that...

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  17. For what values of x and y are the following matrices equal? A=[2x+...

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  18. Find the values of x\ a n d\ y if [(x+10 ,y^2+2y),(0,-4)]=[(3x+4,3),...

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  19. Find the values of a\ a n d\ b if A=B , where A=[a+4 3b8-6] , B=[2a+2b...

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  20. If A=[2 3 4 0 4 6 5 8 9] and B=[3 0 5 5 3 2 0 4 7] , find 3A-2B .

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