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Model Paper 1 — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsModel Paper 11 Mark
MCQ
If A is a 2-rowed square matrix and IAI = 6 then A adj A = ?
  • A
    $\left[\begin{array}{ll}\frac{1}{6} & 0 \\ 0 & \frac{1}{6}\end{array}\right]$
  • B
    $\left[\begin{array}{ll}3 & 0 \\ 3 & 0\end{array}\right]$
  • C
    $\left[\begin{array}{ll}3 & 0 \\ 0 & 3\end{array}\right]$
  • ✓
    $\left[\begin{array}{ll}6 & 0 \\ 0 & 6\end{array}\right]$
✓

Answer

Correct option: D.
$\left[\begin{array}{ll}6 & 0 \\ 0 & 6\end{array}\right]$
(d) $\left[\begin{array}{ll}6 & 0 \\ 0 & 6\end{array}\right]$
Explanation:  A.(adj A) = |A|I
$=6\left(\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right)$
$=\left(\begin{array}{ll}6 & 0 \\ 0 & 6\end{array}\right)$

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