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Find the values of `x ,\ y ,\ z` and `a` which satisfy the matrix equation `[(x+3, 2),(y+x z-1, 4a-6)]=[(0,-7),( 3 ,2a)]`

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To solve the matrix equation \[ \begin{pmatrix} x + 3 & 2 \\ y + x + z - 1 & 4a - 6 \end{pmatrix} = \begin{pmatrix} ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. Construct a 3xx4 matrix A=[a(i j)] whose elements are given by (i)a...

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  2. If [x-y2x+z2x-y3z+w]=[-1 5 0 13] , find x ,\ y ,\ z ,\ wdot

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  3. Find the values of x ,\ y ,\ z and a which satisfy the matrix equ...

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  4. A matrix has 12 elements. What are the possible orders it can have?

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  5. If A=[a(i j)] is a matrix given by A=[a(i j)]=[4 5 21\ \ -2 7 15\ \ 1 ...

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  6. A matrix has 12 elements. What are the possible orders it can have?

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

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

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

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

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

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

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

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

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

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

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

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

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

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