Related Questions

Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right
Louis has 3 routes to reach office. Route -1 is 5 km, route-2 is 7 km and route3 is 4 km. based on the traffic condition he takes different routes. Every Monday there is heavy traffic on Route-2 and Route-3 and Tuesdays and Wednesdays there would be multiple diversions on Route-1 and Route-3. Thursday and Friday he prefers to go by Route-3. Assume he works 5 days a week. In 4 consecutive weeks, how many days will he take Route-2 and how many kilometers will he have traveled on Route-2?
Select from the alternatives that combination of numbers, which will form a meaningful word if given letters are arranged accordingly. \(\begin{matrix} \ \ \ \text{A} & \rm R & \rm W & \rm L & \rm E & \rm K \\\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\\ \ \ 1 & 2 & 3 & 4 & 5 & 6 \end{matrix}\)
The following is a map showing a route for a cycle race. The route starts and goes 12 km East, then there is a turn towards North where the route goes on for 5 km, then there is a turn towards East where the route goes on for 11 km, then there is a right turn from where the route goes on 5 km to reach the end. What is the position of the end with respect to that start?
The following is a map showing a route for a cycle race. The route starts and goes 12 km East, then there is a turn towards North where the route goes onfor 5 km, then there is a turn towards East where the route goes on for 11 km, then there is a right turn from where the route goes on 5 km to reach the end. What isthe position of the end with respect to that start?
A cross-country race route starts and goes 2 km East, then there is a turn towards North where the route goes on for 10 km, then there is a turn towards East where the route goes on for 7 km, then there is a right turn from where the route goes on 10 km to reach the end. What is the position of the end with respect to that start?
A marathon route starts and goes 21 km North, then there is a turn towards West where the route goes on for 7 km, then there is a turn towards North where the route goes on for 10 km, then there is a right turn from where the route goes on 7 km to reach the end. Where is ending point with reference to the starting point?
A marathon route starts and goes 21 km North, then there is a turn towards West where the route goes on for 7 km, then there is a turn towards Northwhere the route goes on for 10 km, then there is a right turn from where the route goes on 7 km to reach the end. Where is it now with reference to its startingposition?
Leena can go to her office in two ways also return to her home from the same route. The distance of the first route is 5 km while the distance of the second route is 7 km. For some reasons, she is unable to go to the office for two consecutive days by the same route. If she goes through the first route on Monday, then how many km does she cover the second route that week?
Eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 0&1&0&0 \\ 1&0&0&0 \\ 0&0&0&{ - 2i} \\ 0&0&{2i}&0 \end{array}} \right