Let S be the set of all real values of k for which the systemof linear equations x + y + z = 2 2x + y $-$ z = 3 3x + 2y + kz = 4 has a unique solution. Then S is :

Question

Let S be the set of all real values of k for which the systemof linear equations
x + y + z = 2
2x + y $-$ z = 3
3x + 2y + kz = 4
has a unique solution. Then S is :

an empty set

equal to {0}

equal to R

equal to R $-$ {0}

Solution

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