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STD 12 - 3 and 4 . determinant and metrices — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 3 and 4 . determinant and metrices4 Marks
MCQ
If $A = [a\,\,b],B = [ - b - a]$ and $C = \left[ \begin{array}{l}\,\,\,\,a\\ - a\end{array} \right]$, then the correct statement is
  • A
    $A = - B$
  • B
    $A + B = A - B$
  • ✓
    $AC = BC$
  • D
    $CA = CB$
✓

Answer

Correct option: C.
$AC = BC$
$AC = [ab]\left[ \begin{array}{l}a\\ - a\end{array} \right] = [{a^2} - ab]$
$BC = [ - b - a]\left[ \begin{array}{l}a\\ - a\end{array} \right] = [{a^2} - ab]$
$\therefore AC = BC$.

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