Consider the following system of linear equations ⎡⎢⎣21−443− – InterviewSolution

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1.	Consider the following system of linear equations ⎡⎢⎣21−443−1212−8⎤⎥⎦⎡⎢⎣xyz⎤⎥⎦=⎡⎢⎣a57⎤⎥⎦Number of values of a for which system has infinitely many solutions.
Answer» Consider the following system of linear equations $⎡ ⎢ ⎣ \begin{matrix} 2 & 1 & - 4 4 & 3 & - 12 1 & 2 & - 8 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x y z \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} a 57 \end{matrix} ⎤ ⎥ ⎦$ Number of values of $a$ for which system has infinitely many solutions.

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