Download App

Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices1 Mark
MCQ
If $A$ is square matrix of order 3 , then $\left|\operatorname{Adj}\left(\operatorname{Adj} A^2\right)\right|=$
  • A
    $|A|^2$
  • B
    $|A|^4$
  • ✓
    $|A|^8$
  • D
    $|A|^{16}$
✓

Answer

Correct option: C.
$|A|^8$
c. $|A|^8$

$∣​\text{adj}(\text{adj}\text{A}^2)​∣​=\text{Q}=\begin{vmatrix}\text{A}^2\end{vmatrix}^{(3-1)^2} =\begin{vmatrix}\text{ A}^2 \end{vmatrix} ^4 =\begin{vmatrix} \text{A}\end{vmatrix}^8$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Matrices→Matrices — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The area of the triangle formed by the tangent and normal at the point $(1,\sqrt{3})$ on the circle $x^2 + y^2 = 4$ and the $x-$ axis is:
→
$\int\frac{\text{x}^4+1}{\text{x}^2+1}\text{ dx}$ is equal to:
→
If a matrix has mm rows and nn columns then its order is :
→
Let $\mathrm{Y}=\mathrm{Y}(\mathrm{X})$ be a curve lying in the first quadrant such that the area enclosed by the line $Y-y=Y^{\prime}(x)(X-x)$ and the co-ordinate axes, where $(\mathrm{x}, \mathrm{y})$ is any point on the curve, is always $\frac{-y^2}{2 Y^{\prime}(x)}+1, Y^{\prime}(x) \neq 0$. If $Y(1)=1$, then $12 Y(2)$ equals
→
A particle is moving along the curve $x = a{t^2} + bt + c.$ If $ac = {b^2},$ then the particle would be moving with uniform
→
If $\vec{\text{a}}$ is any vector, then $\big(\vec{\text{a}}\times\hat{\text{i}}\big)^2+\big(\vec{\text{a}}\times\hat{\text{j}}\big)^2+\big(\vec{\text{a}}\times\hat{\text{k}}\big)^2=$
→
If a line makes angles $Q_1, Q_{21}$ and $Q_3$ respectively with the coordinate axis then the value of $\cos^2 \text{Q}_{1} + \cos^2 \text{Q}_{2} + \cos^2 \text{Q}_{3}:$
→
The plane $2\text{x}-(1-\lambda)\text{y}+3\lambda\text{z}=0$ passes through the intersection of the planes:
→
If $y = \sin [\cos (\sin x)],$ then $dy/dx = $
→
If $\phi (x) = {a^x}$, then ${\{ \phi (p)\} ^3} $ is equal to
→