Matrix R is:(a) Positive semi definite symmetric matrix(b) Positive definite non-symmetric matrix(c) Negative definite symmetric matrix(d) Negative definite non-symmetric matrixThe question was asked by my college professor while I was bunking the class.My doubt stems from Optimal Control Problems topic in section Optimal Control Systems of Control Systems

Matrix R is:(a) Positive semi definite symmetric matrix(b) Positive de

1.	Matrix R is:(a) Positive semi definite symmetric matrix(b) Positive definite non-symmetric matrix(c) Negative definite symmetric matrix(d) Negative definite non-symmetric matrixThe question was asked by my college professor while I was bunking the class.My doubt stems from Optimal Control Problems topic in section Optimal Control Systems of Control Systems
Answer» Correct answer is (a) Positive semi definite symmetric matrix Explanation: Matrix R defines positive definite or non-definite symmetric matrix which is USED in the performance INDEX so as to give equal weightage to each ELEMENT.

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