1.

The system of linear equations x + y + z = 2, 2x + y – z = 3, 3x + 2y + k = 4 has unique solution, if k is not equal to ______ (a) 4 (b) 0 (c) -4(d) 1

Answer»

(b) 0

\( \begin{vmatrix} 1 & 1 & 1 \\ 2 & 1 & -1 \\ 3 & 2 & k \end{vmatrix} \) 

= k + 2 - (2k + 3) + 1 \(\ne\) 0

= k \(\ne\) 0



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