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Get Full Access to Numerical Analysis - 10 Edition - Chapter 9.2 - Problem 18
Get Full Access to Numerical Analysis - 10 Edition - Chapter 9.2 - Problem 18

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# Show thatif A is similar to B, then a. det(A) = det(fi). The characteristic polynomial ISBN: 9781305253667 457

## Solution for problem 18 Chapter 9.2

Numerical Analysis | 10th Edition

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Problem 18

Show thatif A is similar to B, then a. det(A) = det(fi). The characteristic polynomial of A is the same as the characteristic polynomial of B. A is nonsingular if and only if B is nonsingular. If A is nonsingular, show that A -1 is similar to S -1 . A' is similar to B'.

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10/26 The mean (expected value) of the probability distribution of a random variable x is The variance of the probability distribution of a random variable x is And the standard deviation is Player bets \$1 on red in roulette. Let x = his net winnings. The Binomial Distributions An experiment has two outcomes, SUCCESS and FAILURE (we will count the SUCCESSES), Each time this experiment is performed, P(SUCCESS) = P, P(FAILURE) = 1- P = q. Do this n times and let x = # of SUCCESSES Arandom variable x is deﬁned ion this way is said to have a binomial distribution with parameters n and P. The possible values of x are 0,1,2,…..,n Notation: Whenever there are p and q m a stats problem, p+q = 1 q = 1 - P p + q = 1 p1 + q = 1 10/28

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##### ISBN: 9781305253667

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