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Show that for each real value of lamda t...

Show that for each real value of `lamda` the system of equations
`(lamda+3) x+lamda y=0,x+(2 lamda +5)y=0` has a unique solution.

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The correct Answer is:
`lamda`
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ARIHANT PUBLICATION-DETERMINANTS -PART -5 QUESTION FOR PRACTICE
  1. Examine the consistency of the following system of equations x+y+z=1...

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  2. Test whether the following system of equations have non zero solution....

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  3. Show that for each real value of lamda the system of equations (lamd...

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  4. If a system of equations lamda x +3y=0 x+(lamda-2)y=0 has infinitely...

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  5. Examine the consistency of the system of equations 3x-y-2z=2,2y-z=-1 a...

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  6. Solve the system of linear equations using matrix method 2x-y=-2 and...

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  7. Solve the system of linear equations using matrix method 5x+2y=4 and...

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  8. Show that the following systems of linear equations is consistent and ...

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  9. 3x+2y+z=2,2x+y-3z=5 and -x+2y+z=6

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  10. x+y-z=3,2x+3y+z=10 and 3x-y-7z=1

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  11. x-y+2z=7,3x+4y-5z=-5 and 2x-y+3z=12

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  12. x+2y+z=7,x+3z=11 and 2x-3y=1

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  13. 2x+y+z=1,x-2y-z=3/2 and 3y-5z=9

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  14. Solve the following system of equations by matrix method where x ne 0,...

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  15. Using matrix method solve the following system of equations 2/x+3/y+...

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  16. Find A^-1 where A=[(1,2,-3),(2,3,2),(3,-3,-4):}] Hence solve the syste...

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  17. IF A=[(1,2,1),(-1,1,1),(1,-3,1):}] then find A^-1 and hence solve the ...

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  18. If A=[{:(1,2,0),(-2,-1,-2),(0,-1,1):}] then find A^-1 Using A^-1 solv...

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  19. Determine the product of A=[(-4,4,4),(-7,1,3),(5,-3,-1):}][(1,-1,1),(1...

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  20. Suppose A=[{:(2,2,-4),(-4,2,-4),(2,-1,5):}] and B=[{:(1,-1,0),(2,3,4),...

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