Question
If $A=\left[\begin{array}{cc}4 & 2 \\ -1 & 1\end{array}\right]$, then $(A-2 l)(A-3 l)$ is equal to

Answer

O

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Choose the correct answer from the given four option. Family $y = Ax + A^3$ of curves is represented by the differential equation of degree:
The matrix $\begin{bmatrix}0&5&-7\\-5&0&11\\7&-11&0\end{bmatrix}$ is:
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  2. A symmetric matrix.
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If $x^y=e^{x-y}$, then $\frac{d y}{d x}$ is
$\int_{0}^{1}\frac{(\tan^{-1}\text{x})^2}{1+\text{x}^2}\text{dx}=$
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$\int\frac{\text{x}^3}{\sqrt{1+\text{x}^2}}\text{ dx}=\text{a}(1+\text{x}^2)^{\frac{3}{2}}+\text{b}\sqrt{1+\text{x}^2}+\text{C},$ then:
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The two adjacent side of a triangle are represented by the vectors $\vec{a}=3 \hat{i}+4 \hat{j}$ and $\vec{b}=-5 \hat{i}+7 \hat{j}$ The area of the triangle is