Recent activity in Engineering Mathematics

For the given matrix, which of the statements given below is/are true?\[\left[\begin{array}{ccc}3 & 1 & 5 \\2 & -1 & 0 \\5 & 2 & 9\end{array}\right]\]The matrix is full r...

The mean of the following series is $\_\_\_\_$. (rounded off to three decimal places)$0.01,0.02,0.03, \cdots \cdots, 1$ 

Consider the following sample of numbers:\[9,18,11,14,15,17,10,69,11,13\]The median of the sample is$13.5$$14$$11$$18.7$

​​​Let $y(t)$ be a bacterial population whose growth is given by$$ \frac{d y}{d t}=\lambda(y+2) $$where $\lambda$ is the growth rate constant. If $y(0)=1$ and $y(1)=4$, t...

Let $\overrightarrow{O R}$ be the vector that is perpendicular to the vectors $\overrightarrow{O P}=2 \hat{\imath}-3 \hat{\jmath}+\hat{k}$ and $\overrightarrow{O Q}=-2 \h...

If $\vec{v}=\left(\begin{array}{l}2 \\ 2 \\ 2\end{array}\right)$ is an eigenvector of the matrix $\left(\begin{array}{lll}1 & 2 & 3 \\ 1 & 2 & 3 \\ 1 & 2 & 3\end{array}\r...

The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________