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Using elementary transformations, find t...

Using elementary transformations, find the inverse of the matrix `A=(8 4 3 2 1 1 1 2 2)` and use it to solve the following system of linear equations : `8x+4y+3z=19` `2x+y+z=5` `x+2y+2z=7`

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The correct Answer is:
`x=1`, `y=2`, `z=1`
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MODERN PUBLICATION-DETERMINANTS-Examples (FREQUENCY ASKED QUESTIONS)
  1. If A=[2 3 1-4]and B=[1-2-1 3], then verify that (A B)^(-1)=B^(-1)A^(-1...

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  2. If A=[{:(1,3,3),(1,4,3),(1,3,4):}], verify A.(adj.A)=|A|I and find A^(...

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  3. Find the inverse of each of the matrices given below : Computer (A...

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  4. Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)...

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  5. x+2y=9 2x+4y=7

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  6. Solve the following system of equations by matrix method : 3x-4y=5 a...

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  7. Using matrices, solve the following system of equations: 4x+3y+3z=6...

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  8. Solve the following system of equations by matrix method : x+y-2=3...

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  9. Using elementary transformations, find the inverse of the matrix A=(8 ...

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  10. If A=[[2,3,4],[1,-1,0],[0,1,2]], find A^(-1). Hence, solve the system...

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  11. If A=[{:(2,3,10),(4,-6,5),(6,9,-20):}], find A^(-1). Using A^(-1), sol...

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  12. Use product [{:(1,-1,2),(0,2,-3),(3,-2,4):}][{:(-2,0,1),(9,2,-3),(6,1,...

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  13. Solve, using matrices : 2x-y+3z=5, 3x+2y-z=7 and 4x+5y-5z=9

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  14. Solve the following systems of linear homogenous equations : 2x+y-3z...

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  15. Solve the following systems of linear homogenous equations : 3x+2y+7...

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  16. The sum of three numbers is -1. If we multiply second number by 2, thi...

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  17. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

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  18. A typing changes rs 145 for typing 10 English and 1 Hindi page for typ...

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  19. Two schools A and B decided to award prizes to their students for thre...

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  20. The management committee of a residential colony decided to award some...

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