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STD 12 - 3 and 4 . determinant and metrices — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 3 and 4 . determinant and metrices1 Mark
MCQ
Consider the matrices $A =$ $\left[ {\begin{array}{*{20}{c}}4&6&{ - 1}\\3&0&2\\1&{ - 2}&5\end{array}} \right]$ , $B =$ $\left[ {\begin{array}{*{20}{c}}2&4\\0&1\\{ - 1}&2\end{array}} \right]$ , $C =$ $\left[{\begin{array}{*{20}{c}}3\\1\\2\end{array}} \right]$ . Out of the given matrix products
$(i)$ $(AB)^TC$           $(ii)$ $C^TC(AB)^T$          $(iii)$ $C^TAB$        and       $(iv)$ $A^TABB^TC$
  • A
    exactly one is defined
  • B
    exactly two are defined
  • ✓
    exactly three are defined
  • D
    all four are defined
✓

Answer

Correct option: C.
exactly three are defined
c
$(i), (iii)$ and $(iv)$ are correct

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