જો $A = dig(2, - 1,\,3),B = dig( - 1,\,3,\,2)$, તો ${A^2}B = $
A $dig\ (5, 4, 11)$ B $dig\ (-4, 3, 18)$ C $dig\ (3, 1, 8 )$ D $B$ Download our app for free and get started Solution
B $dig\ (-4, 3, 18)$
b (b) ${A^2}B = (A.\,A)B = \left[ {\begin{array}{*{20}{c}}2&0&0\\0&{ - 1}&0\\0&0&3\end{array}} \right]\,\left[ {\begin{array}{*{20}{c}}2&0&0\\0&{ - 1}&0\\0&0&3\end{array}} \right].\,\left[ {\begin{array}{*{20}{c}}{ - 1}&0&0\\0&3&0\\0&0&2\end{array}} \right]$
$ = \left[ {\begin{array}{*{20}{c}}4&0&0\\0&1&0\\0&0&9\end{array}} \right]\,\left[ {\begin{array}{*{20}{c}}{ - 1}&0&0\\0&3&0\\0&0&2\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}{ - 4}&0&0\\0&3&0\\0&0&{18}\end{array}} \right]$.