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The system of equations 2x-y+z=0 x-2...

The system of equations
`2x-y+z=0`
`x-2`lamda`+z=0`
x-y+2z=0` has infinite number of nontrivial solutions for

A

`lamda=1`

B

`lamda =5`

C

`lamda=-5`

D

no real value of `lamda`

Text Solution

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The correct Answer is:
B
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ARIHANT PUBLICATION-DETERMINANTS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 5(B))
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  2. The equations x+y+z=6 x+2y+3z=10 x+2y+mz=n given infinite numb...

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

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

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

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

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

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

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

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

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

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

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

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

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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 : [[i,-i],[i,i]

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  17. Find the inverse of the following : [[x,-x],[x,x^2]],x ne 0, x ne -1

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  18. Find the adjoint of the following matrice. [[1,1,-1],[2,-1,2],[1,3,-2...

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  19. Evalute the determinant |(-2,2,1),(1,4,2),(-2,-3,1)|

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  20. Find the adjoint of the following matrice. [[2,1,2],[2,2,1],[1,2,2]]

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