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Tutorial-1 3.3 Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. List the elements of the sample space S for the three tosses of the coin and to each sample point assign a value w of W. Answer: W= #H - #T S={HHH, HHT, HTH, THH,HTT, THT ,TTH, TTT} W= -3 , -1 , 1, 3Identifying the traits often associated with empathic people is key to understanding what an empath is, or what it means to be an empath. For example, empaths ...Start with search. Help drive sales, leads, or site traffic by getting your business in ...

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Answered question. 2022-09-08. Let T : V → W be a linear transformation of two finite dimensional vector spaces V, W (both over a field F ). My assignment is to show that there exists a basis B in V and a basis C in W such that the transformation F with respect to the bases B and C actually does have A as a transformation matrix.38. Let A be an m nn matrix and let w~ be a vector in R that satis es the equation A~x= ~0. Show that for any scalar c, the vector cw~ also satis es A~x= ~0. [That is, show that A(cw~) = ~0.] By Theorem 5(b) (page 41) and the fact that w~ satis es A~x= ~0, A(cw~) = c(Aw~) = c~0 = ~0 : Therefore cw~ satis es the equation. Section 1.7 (Page 62) 8. ….

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A: In this question, the given set W is defined as W=abc ∈R3 s.t. a+b+c>0, for all a,b, c in R} To… Q: 10. Let W be the subspace of the real vector space V =R* spanned by a = (1,–1,2), 3 = (2, 3. –6), 7…W a subspace of V. Then, W is also nite dimensional and indeed, dim(W) dim(V). Furthermore, if dim(W) = dim(V), then W=V. Proof. Let Ibe a maximal independent set in W Such a set exists and is nite because of the fundamental inequality. Ispans W, and so is a basis for W. This is due to the dependence lemma showing that spanI= W.

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