Mathematics, 04.04.2020 03:36 heartprague
Let T : V right arrow→ W be a linear transformation from a vector space V into a vector space W. Prove that the range of T is a subspace of W. [Hint: Typical elements of the range have the form T(x) and T(w) for some x and w in V.] What would be the most useful method of proving that the range of T is a subspace of W? A. Show that the three properties that define a subspace are satisfied by the vectors in the range of T. B. Show that there is a set of vectors that span the range of T. C. Show that the range of T must be all of W. D. Find a matrix such that the range of T is the column space of that matrix. E. Find a matrix such that the range of T is the null space of that matrix. F. Show that all ten axioms for a vector space are satisfied by the vectors in the range of T.
Answers: 3
Mathematics, 21.06.2019 18:30, zoeatlowapple
An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3
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Mathematics, 21.06.2019 23:30, jadynsantiago
Ana earns 2.5% simple interest on $2,000 in her savings account. she does not make any deposits or withdrawals. after 3 years, how much interest will ana have earned on her savings account?
Answers: 1
Let T : V right arrow→ W be a linear transformation from a vector space V into a vector space W. Pro...
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