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Show that the following system is incons...

Show that the following system is inconsistent.
(a-b)x+(b-c)y+(c-a)z=0
(b-c)x+(c-a)y+(a-b)z=0
(c-a)x+(a-b)y+(b-c)z=1

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ARIHANT PUBLICATION-DETERMINANTS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 5(B))
  1. Write the number of solutions of the following system of equations x...

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  2. Write the number of solution of the following system of equation. a1x+...

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  3. Show that the following system is inconsistent. (a-b)x+(b-c)y+(c-a)z...

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  4. The system of equations x+2y+3z=4 2x+3y+4z=5 3x+4y+5z=6 has

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  5. IF the system of equations 2x+5y+8z=0 x+4y+7z=0 6x+9y+lamdaz=0 h...

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  6. The system of linear equations x+y+z=2 2x+y-z=3 3x+2y+kz=4 has...

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  7. The equations x+y+z=6 x+2y+3z=10 x+2y+mz=n given infinite numb...

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  8. The system of equations 2x-y+z=0 x-2lamda+z=0 x-y+2z=0 has infin...

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  9. The system of equations a1x+b1y+c1z=0 a2x+b2y+c2z=0 a3x+b3y+c3z=...

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  10. Can the inverse of the following matric be found ? [[0,0],[0,0]]

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  11. Can the inverse of the following matric be found ? [[1,2],[3,4]]

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  12. Can the inverse of the following matric be found ? [[1,1],[1,1]]

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  13. Can the inverse of the following matric be found ? [[1,2],[2,4]]

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  14. Can the inverse of the following matric be found ? [[1,0,0],[0,1,0],...

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  15. Find the inverse of the following : [[1,0],[0,1]]

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  16. Find the inverse of the following : [[2,-1],[1,3]]

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  17. Find the inverse of the following : [[4,-2],[3,1]]

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  18. Find the inverse of the following : [[2,5],[1,3]]

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  19. Find the inverse of the following : [[1,0],[2,-3]]

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  20. Find the inverse of the following : [[1,0],[0,-1]]

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