X तथा Y ज्ञात कीजिए यदि Y = $\left[\begin{array}{ll} 3 & 2 \\ 1 & 4 \end{array}\right]$ तथा 2X + Y = $\left[\begin{array}{rr} 1 & 0 \\ -3 & 2 \end{array}\right]$
Exercise-3.2-8
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दिया है, 2X + Y = $\left[\begin{array}{rr} 1 & 0 \\ -3 & 2 \end{array}\right] $ तथा Y = $ \left[\begin{array}{ll} 3 & 2 \\ 1 & 4 \end{array}\right]$
$\Rightarrow$ 2X = $\left[\begin{array}{rr} 1 & 0 \\ -3 & 2 \end{array}\right]$ - Y = $\left[\begin{array}{rr} 1 & 0 \\ -3 & 2 \end{array}\right]$ - $\left[\begin{array}{ll} 3 & 2 \\ 1 & 4 \end{array}\right]$
= $\left[\begin{array}{rr} 1-3 & 0-2 \\ -3-1 & 2-4 \end{array}\right]=\left[\begin{array}{ll} -2 & -2 \\ -4 & -2 \end{array}\right]$
$\Rightarrow$ X = $\frac{1}{2}\left[\begin{array}{ll} -2 & -2 \\ -4 & -2 \end{array}\right]$ = $\left[\begin{array}{cc} -1 & -1 \\ -2 & -1 \end{array}\right]$
$\Rightarrow$ 2X = $\left[\begin{array}{rr} 1 & 0 \\ -3 & 2 \end{array}\right]$ - Y = $\left[\begin{array}{rr} 1 & 0 \\ -3 & 2 \end{array}\right]$ - $\left[\begin{array}{ll} 3 & 2 \\ 1 & 4 \end{array}\right]$
= $\left[\begin{array}{rr} 1-3 & 0-2 \\ -3-1 & 2-4 \end{array}\right]=\left[\begin{array}{ll} -2 & -2 \\ -4 & -2 \end{array}\right]$
$\Rightarrow$ X = $\frac{1}{2}\left[\begin{array}{ll} -2 & -2 \\ -4 & -2 \end{array}\right]$ = $\left[\begin{array}{cc} -1 & -1 \\ -2 & -1 \end{array}\right]$
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