CUET · MATHS · PYQ PAPER 2023
The following system of equations has :
\(\begin{array}{l}x+2 y+3 z=1 \\x-y+4 z=0 \\2 x+y+7 z=1\end{array}\)
- A a unique solution
- B no solution
- C infinitely many solutions
- D only two solutions
Answer & Solution
Correct Answer
(C) infinitely many solutions
Step-by-step Solution
Detailed explanation
\( \begin{pmatrix} 1 & 2 & 3 & | & 1 \\ 1 & -1 & 4 & | & 0 \\ 2 & 1 & 7 & | & 1 \end{pmatrix} \) \( R_2 \leftarrow R_2 - R_1 \) , \( R_3 \leftarrow R_3 - 2R_1 \) \( \begin{pmatrix} 1 & 2 & 3 & | & 1 \\ 0 & -3 & 1 & | & -1 \\ 0 & -3 & 1 & | & -1 \end{pmatrix} \)…
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