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51.	The matrix constructed by placing the Eigen vectors together is diagonalizing matrix.(a) True(b) FalseThis question was addressed to me during an online interview.My query is from Diagonalization in division State Variable Analysis and Design of Control Systems
Answer» Correct ANSWER is (a) True Easiest explanation: Eigen values are the values that are OBTAINED by solving the characteristic equation these are the roots of the characteristic equation and the matrix constructed by PLACING the Eigen vectors TOGETHER is diagonalizing matrix.

52.	A car is running at a constant speed of 50 km/h, which of the following is the feedback element for the driver?(a) Clutch(b) Eyes(c) Needle of the speedometer(d) Steering wheelThis question was addressed to me in an interview for internship.Enquiry is from Observer Systems topic in chapter State Variable Analysis and Design of Control Systems
Answer» The CORRECT answer is (c) NEEDLE of the speedometer Explanation: For CAR as control system steering wheel is the feedback element for the driver as for driver to maintain CONSTANT speed or desired speed steering wheel is the important element and ERROR detector.

53.	A system is said to be_________________ if every state can be completely identified by measurements of the outputs at the finite time interval.(a) Controllable(b) Observable(c) Cannot be determined(d) Controllable and observableThis question was addressed to me in class test.Asked question is from Controlability and Observability in section State Variable Analysis and Design of Control Systems
Answer» Right OPTION is (B) Observable Easy explanation: By DEFINITION, a system is said to be observable, if EVERY state can be completely identified by measurements of the outputs at the finite TIME interval.

54.	The diagonalizing matrix is also known as:(a) Eigen matrix(b) Modal matrix(c) Constant matrix(d) State matrixI have been asked this question in examination.The origin of the question is Diagonalization topic in chapter State Variable Analysis and Design of Control Systems
Answer» The correct CHOICE is (b) MODAL matrix Easiest explanation: The modal matrix is the matrix FORMED formed by placing the eigen values that is the roots of the characteristic EQUATION and this is also KNOWN as the diagonalizing matrix.