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Give a quick reason why each of these statements is true: (a) Every positive definite
Chapter 6, Problem 6.2.23(choose chapter or problem)
Give a quick reason why each of these statements is true: (a) Every positive definite matrix is invertible. (b) The only positive definite projection matrix is P = I. (c) A diagonal matrix with positive diagonal entries is positive definite. (d) A symmetric matrix with a positive determinant might not be positive definite!
Questions & Answers
QUESTION:
Give a quick reason why each of these statements is true: (a) Every positive definite matrix is invertible. (b) The only positive definite projection matrix is P = I. (c) A diagonal matrix with positive diagonal entries is positive definite. (d) A symmetric matrix with a positive determinant might not be positive definite!
ANSWER:Step 1 of 5
We have to give the reasons why the given statements are true.