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Construct a 2xx2 matrix A=[a(i j)] whose...

Construct a `2xx2` matrix `A=[a_(i j)]` whose elements `a_(i j)` are given by: (i) `a_(i j)=i+j` (ii) `a_(i j)=((i+j)^2)/2`

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To construct a \(2 \times 2\) matrix \(A = [a_{ij}]\) based on the given conditions, we will follow these steps for both cases. ### Case (i): \(a_{ij} = i + j\) 1. **Define the matrix structure**: Since we need a \(2 \times 2\) matrix, we will have: \[ A = \begin{bmatrix} ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. Let A be a matrix of order 3xx4 . If R1 denotes the first row of A ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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