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If a,b,c are non-zeros, then the system ...

If `a,b,c` are non-zeros, then the system of equations
`{:((alpha+a)x+alphay+alphaz=0),(alphax+(alpha+b)y+alphaz=0),(alphax+alphay+(alpha+c)z=0):}`
has a non-trivial solution if

A

`alpha^(-1)=-(a^(-1)+b^(-1)+c^(-1))`

B

`alpha^(-1)=a+b+c`

C

`alpha+a+b+c=1`

D

none of these

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The correct Answer is:
A
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RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-2
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  8. If A is a skew-symmetric matrix and n is an even natural number,...

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  9. Matrix A such that A^(2)=2A-I, where I is the identity matrix, then fo...

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  10. about to only mathematics

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  11. " If "|{:(sin 0 cos phi,,sin 0 sin phi,,cos 0),(cos 0 cos phi,, cos 0 ...

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  12. Prove that |{:(1+a^(2)+a^(4),,1+ab+a^(2)b^(2),,1+ac+a^(2)c^(2)),(1+ab+...

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  14. Value of the Delta=|{:(,a^(3)-x,a^(4)-x,a^(5)-x),(,a^(5)-x,a^(6)-x,a^(...

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  15. If Delta1=|[2a,b,e],[2d,e,f],[4x,2y,2z]|,Delta2=|[f,2d,e],[2z,4x,2y],[...

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  16. From the matrix equation AB=AC, we conclude B=C provided.

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  17. Let A=|{:(,-2,7,sqrt3),(,0,0,-2),(,0,2,0):}| and A^(4)=lambda,I,"then"...

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