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Consider a system described by ẋ = Ax + Bu y = Cx + Du The system is completely output controllable if and only if Where: x = State vector (n-vector) u = Control vector (r-vector) y = Output vector (m-vector) A = n × n matrix B = n × r matrix C = m × n matrix D = m × r matrix
Consider the following three statements about link state and distance vector routing protocols, for a large network with 500 network nodes and 4000 links. [S1] The computational overhead in link state protocols is higher than in distance vector protocols. [S2] A distance vector protocol (with split horizon) avoids persistent routing loops, but not a link state protocol. [S3] After a topology change, a link state protocol will converge faster than a distance vector protocol. Which one of the following is correct about S1, S2, and S3?
In rolling, there is the involvement of the vector math. So for rolling which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)
The Burgers vector b is the vector which defines the magnitude and direction of slip. For a pure edge dislocation, the Burgers vector is perpendicular to the dislocation line, while for a pure screw dislocation, the Burgers vector is parallel to the dislocation line.
Which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)
Given below are four sentences, three of which, are jumbled. Pick the option that gives the correct order. A. “Now, sir” said the policeman, “I hope you are feeling well enough to answer a few questions.” B. “First of all we have to establish your identity,” said the policeman. C. “Establish my identity? You don’t even know who I am? How long have I been in the hospital?” D. “Yes, of course.” said Prabhat. The nurse placed another pillow under his head and left the room.
For a network graph having its fundamental loop matrix Bf and its sub-matrices Bt and Bl corresponding to twigs and links, which of the following statements are correct? 1) Bl is always an identity matrix. 2) Bt is an identity matrix. 3) Bf has rank of b – (n – 1), where b is the number of branches and n is the number of nodes of the graph.
A vector, 7 units from the origin, along the X axis, is added to vector 11 units from the origin along the Y axis. What is the resultant vector?
The vector 40î + 30ĵ is added to a vector. The result gives 15î + 3ĵ as the answer. The unknown vector is _____
A vector, 5 units from the origin, along the X axis, is added to vector 2 units from the origin along the Y axis. What is the resultant vector?