MCQ
$A = \left[ {\begin{array}{*{20}{c}}4&6&{ - 1}\\3&0&2\\1&{ - 2}&5\end{array}} \right]$,$B = \left[ {\begin{array}{*{20}{c}}2&4\\0&1\\{ - 1}&2\end{array}} \right],\,\,C = \left[ {\begin{array}{*{20}{c}}3\\1\\2\end{array}} \right]$, then the expression which is not defined is
  • ${A^2} + 2B - 2A$
  • B
    $CC'$
  • C
    $B'C$
  • D
    $AB$

Answer

Correct option: A.
${A^2} + 2B - 2A$
a
(a) By inspection, ${A^2}$and $A$ matrix is of order $3 \times 3$, while $B$ matrix is of order $3 \times 2$. Therefore, ${A^2} + 2B - 2A$ is not defined.

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