If A = [ * 20 c 1&0&1 2&1&0 3&2&1 ],then A= - Vidyadip

MCQ

If $A = \left[ {\begin{array}{*{20}{c}}1&0&1\\2&1&0\\3&2&1\end{array}} \right],$then $\det A$=

✓
$2$
B
$3$
C
$4$
D
$5$

✓

Answer

Correct option: A.

$2$

a
(a) $|A| = \left| {\,\begin{array}{*{20}{c}}1&0&1\\2&1&0\\3&2&1\end{array}\,} \right|$ = $1(1 - 0) + 0 + 1(4 - 3)$ = $2.$

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let the triangle $P Q R$ be the image of the triangle with vertices $(1,3),(3,1)$ and $(2,4)$ in the line $x+2 y-2$. If the centroid of $\triangle P Q R$ is the point $(\alpha, \beta)$, then $15(\alpha-\beta)$ is equal to :

Let : $\overrightarrow{ a }=\hat{ i }+2 \hat{ j }+3 \hat{ k }, \overrightarrow{ b }=\hat{ i }-\hat{ j }+2 \hat{ k }$ and $\vec{c}=5 \hat{i}-3 \hat{j}+3 \hat{k}$ be there vectors. If $\vec{r}$ is a vector such that, $\overrightarrow{ r } \times \overrightarrow{ b }=\overrightarrow{ c } \times \overrightarrow{ b }$ and $\overrightarrow{ r } \cdot \overrightarrow{ a }=0$. Then $25|\overrightarrow{ r }|^2$ is equal to

Let $A$ denote the event that a $6 -$digit integer formed by $0,1,2,3,4,5,6$ without repetitions, be divisible by $3 .$ Then probability of event $A$ is equal to :

Let $P, Q $ and $R$ are three co-normal points on the parabola $y^2 = 4ax.$ Then the correct statement$(s)$ is/are

$\int_{}^{} {\frac{{dx}}{{{e^x} + {e^{ - x}}}} = } $

If a function $f(x)$ is increasing in an interval $x \in [a,b]$, then which of the following will always be correct -

Let A be the set of all functions $f: Z \rightarrow Z$ and R be a relation on A such that $R =\{( f , g ): f(0)= g (1)$ and $f(1)= g (0)\}$. Then R is:

A circle has the same centre as an ellipse and passes through the foci $F_1 \& F_2$ of the ellipse, such that the two curves intersect in $4$ points. Let $'P'$ be any one of their point of intersection. If the major axis of the ellipse is $17 $ and the area of the triangle $PF_1F_2$ is $30$, then the distance between the foci is :

The value of $\frac{{a + b\omega + c{\omega ^2}}}{{b + c\omega + a{\omega ^2}}} + \frac{{a + b\omega + c{\omega ^2}}}{{c + a\omega + b{\omega ^2}}}$ will be

The angle subtended at the centre of a circle of radius $3$ metres by an arc of length $1$ metre is equal to