A) \[-\,6,-\,12,-\,18\]
B) - 6, 4, 9
C) \[-\,6,-\,4,-\,9\]
D) - 6, 12, 18
Correct Answer: C
Solution :
Given, \[kA=\left[ \,\begin{matrix} 0 & 3a \\ 2b & 24 \\ \end{matrix}\, \right]\]Þ \[k\,\,\left[ \begin{matrix} 0 & 2 \\ 3 & -4 \\ \end{matrix} \right]\,=\,\left[ \begin{matrix} 0 & 3a \\ 2b & 24 \\ \end{matrix} \right]\] Þ \[2k=3a,\,3k=2b,\,-4k=24\] Þ \[a=\frac{2k}{3},\,\,\,b=\frac{3k}{2},\,k=-6\] \[\Rightarrow \] \[k=-6,\,\,a=-4,\,b=-9\].You need to login to perform this action.
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