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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
_______ is used to apply a function over subsets of a vector.
Simplify : $${{{5 \over 3} \times {7 \over {51}}{\text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{\text{ of }}{{28} \over 5} - {2 \over 3}}}$$
Which of the following statements is/ are true ? A. The terms 'true' and 'false' apply to arguments. B. The terms 'true' and 'false' apply to statements. C. The terms 'valid' and 'invalid' apply to arguments. D. The terms 'cogent' and 'non-cogent' apply to statements. Choose the correct answer from the options given below:
Which of the following statement is correct? Answer using given below:
(1) Doctrine of indoor management apply in case of knowledge of irregularity in company.
(2) Doctrine of indoor management does not apply in case of suspicion of irregularity.
(3) Doctrine of indoor management apply in case of forgery.
(4) Doctrine of indoor management does not apply if the act of an officer of a company is one which would ordinarily be beyond the powers of such an officer.
Given an array, check if the array can be divided into two subsets such that the sum of elements of the two subsets is equal. This is the balanced partition problem. Which of the following methods can be used to solve the balanced partition problem?
Consider the proper subsets of {1, 2, 3, 4}. How many of these proper subsets are a superset of the set {3}?
Consider the following relation on subsets of the set ? of integers between 1 and 2014. For two distinct subsets U and V of S we say U < V if the minimum element in the symmetric difference of the two sets is in U. Consider the following two statements: S1: There is a subset of S that is larger than every other subset. S2: There is a subset of S that is smaller than every other subset. Which one of the following is CORRECT?
We need to apply vector math sometimes in the calculation of the stability of equilibrium configurations. So the coordinate of the Force vector AB is A (2, 0, 2) and B (-2, 3.46, 3). It has a magnitude of 750N. Which is the best Cartesian representation of the vector AB?
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?