At present , the ratio between the age of arun and Deepak is 4:3 After six years, arun's age will be 26 years l. What is the age of Deepak at present.

\(\frac {(469+174)^{2}-(469-174)^{2}}{469\times{174}} =\)

Find the sum of prime numbers lying between 60 and 75.

Find the value of x

2x^2+2x+2=0

\(A=\begin{matrix}0&1&2\\1&2&3\\ 3&1&1\end{matrix}\)

Find the inverse of A by elementry row operations.

Find the rank of matrix

\(\begin{bmatrix}1&2&3&4\\-2&0&5&7\end{bmatrix}\) 

Find the rank of matrix

\(\begin{bmatrix}1&2&3\\1&4&2\\2&6&5\end{bmatrix}\)

Find the rank of matrix

\(\begin{bmatrix}2&3&4&-1\\5&2&0&-1\\-4&5&12&-1\end{bmatrix}\)

Find the rank of matrix

\(\begin{bmatrix}1&2&3&0\\2&4&3&2\\3&2&1&3\\6&8&7&5\end{bmatrix}\)

Reduce each of the following matrix to normal form and hence find their rank

\(\begin{bmatrix}2&3&-1&-1\\1&-1&-2&-4\\3&1&3&-2\\6&3&0&-7\end{bmatrix}\)

Find the rank of matrix

\(\begin{bmatrix}8&1&3&6\\0&3&2&2\\-8&-1&-3&4\end{bmatrix}\)