Question
Find adj $A$ for $A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]$.

Answer

$adjA = \left[ {\begin{array}{*{20}{c}} 4&{ - 3} \\ { - 1}&2 \end{array}} \right]$

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

Similar questions

Show that $f ( x )=\cos ^2 x$ is a decreasing function on $\left(0, \frac{\pi}{2}\right)$.
If $\text{A}=\begin{bmatrix}1&2\\4&1\\5&6\end{bmatrix}$ and $\text{B}=\begin{bmatrix}1&2\\6&4\\7&3\end{bmatrix},$ then verify that $(\text{A}-\text{B})'=\text{A}'-\text{B}'.$
If $A$ is a square matrix of order $3$ such that $adj\ (2A) = k\ adj\ (A),$ then write the value of $k.$
Find the equation of the curve passing through the point $\left( {0,\frac{\pi }{4}} \right)$whose differential equation is $\sin x\cos ydx + \cos x\sin ydy = 0$
Show that the following triads of vectors are coplanar:
$\vec{\text{a}}=\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}},\vec{\text{b}}=3\hat{\text{i}}+2\hat{\text{j}}+7\hat{\text{k}},\vec{\text{c}}=5\hat{\text{i}}+6\hat{\text{j}}+5\hat{\text{k}}$
Form the differential equation from the following primitives where constants are arbitrart:$\text{xy}=\text{a}^2$
Find the vector equation of a plane passing throught a point with position $2\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}}$ and perpendicular to the vector $4\hat{\text{i}}+2\hat{\text{j}}-3\hat{\text{k}}$ 
If $\vec{\text{a}}$ and $\vec{\text{b}}$ are two vectors such that $\vec{\text{a}}.\vec{\text{b}}=6,|\vec{\text{a}}|=3$ and $\big|\vec{\text{b}}\big|=4.$ write the projection of $\vec{\text{a}}$ on $\vec{\text{b}}.$
Evaluate the following integrals:
$\int\big(\text{x}^\text{e}+\text{e}^\text{x}+\text{e}^\text{e}\big)\text{dx}$
Integrate the function $\frac{3 x^{2}}{x^{6}+1}$