Question

If A is square matrix of order 3 such that $|a d j A|=$ 64, find $|A|.$

If A = $\left(\begin{array}{l l }x & x-y \\ 2x+y & 7\end{array}\right)$ = $\left(\begin{array}{l l }3 & 1 \\ 8 & 7\end{array}\right)$ , then find the value of y.

If A' = $\left(\begin{array}{l l }3 & 4 \\ -1 & 2 \\ 0 & 1\end{array}\right)$ and B = $\left(\begin{array}{l l l }-1 & 2 & 1 \\ 1 & 2 & 3\end{array}\right)$ then find A' – B'.

Write the degree of the differential equation : $x\left(\frac{d^{2}y}{d x^{2}}\right)^{3}+y\left(\frac{d y}{d x}\right)^{4}+x^{3}=0$

Evaluate $\textstyle\int$$\frac{x^{3}-1}{x^{2}}d x.$

Write the value of $\textstyle\int\!{\frac{1-\sin x}{\cos^{2}x}}\,d x\,.$

Find the slope of tangent to the curve y = 3x² – 6 at the point on it whose x-coordinate is 2.