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The values of x for which the matrix [[...

The values of x for which the matrix `[[x+a,b,c],[a,x+b,c],[a,b,x+c]]` is non-singular are (A) `R-{0}` (B) `R-{-(a+b+c)}` (C) `R-{0,-(a+b+c)}` (D) none of these

A

`R-{0}`

B

` R-{-(a+b+C) }`

C

` R-{0,-(a+b+c)}`

D

none of these

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The correct Answer is:
C
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