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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
For any $2 \times 2$ matrix $ A$, if $A(adj.\,\,A)$= $\left[ {\begin{array}{*{20}{c}}{10}&0\\0&{10}\end{array}} \right]$, then $|A|\, = $
  • A
    $0$
  • ✓
    $10$
  • C
    $20$
  • D
    $100$
✓

Answer

Correct option: B.
$10$
b
(b) $A(adj\,.\,A) = |A|\,I \Rightarrow \,\left| {\,\begin{array}{*{20}{c}}{10}&0\\0&{10}\end{array}\,} \right| = 10\,.\,\left| {\,\begin{array}{*{20}{c}}1&0\\0&1\end{array}\,} \right|$.

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