A) \[\left\{ \left[ \begin{matrix} a & b \\ c & a-b \\ \end{matrix} \right];\,\,a,\,\,b,\,\,c\,\,\in \,R \right\}\]
B) \[\left\{ \left[ \begin{matrix} a & b \\ b & c \\ \end{matrix} \right];\,\,a,\,\,b,\,\,c\,\,\in \,R \right\}\]
C) \[\left\{ \left[ \begin{matrix} a-b & b \\ b & c \\ \end{matrix} \right];\,\,a,\,\,b,\,\,c\,\,\in \,R \right\}\]
D) \[\left\{ \left[ \begin{matrix} a & b \\ b & a-b \\ \end{matrix} \right];\,\,a,\,\,b\,\,\in \,R \right\}\]
Correct Answer: D
Solution :
Let the matrix be \[\omega =\frac{3v}{4l}\] \[T=2\pi \,\sqrt{\frac{L}{g}}\] \[\frac{L}{2}\] \[\Rightarrow \] \[T=2\pi \sqrt{\frac{L}{2g}}\] \[\Rightarrow \] \[M=(AL)d\,\,\,\Rightarrow \,\,\frac{M}{Ad}\] \[\Rightarrow \] Set of all matrices that commute with \[T=2\pi \,\,\sqrt{\frac{M}{2Adg}}\] w.r.t. Matrix multiplication \[\Delta DBS,\]You need to login to perform this action.
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