2 -1 Let A = Show that the equation -6 3 b2 Ax = b does not have a solution for all possible b, and describe the set of all b for which Ax = b does have a solution. and b = b₁
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- 31. In Example 2.35, describe all possible configurations of lights that can be obtained if we start with all the lights off.Show that both ℝ and ℝ2 may be covered by countably many open balls.Provide solution from the given problem on Pigeonhole Principle. Problem: In a room of 499 people, there exist two who share a birthday.
- 3 Determine the general solution for each given higher order di erential equation or particular solutionfor a given IVP or BVP.E. Show that both ℝ and ℝ2 may be covered by countably many open balls.Within a group of 12 women, there are five who have known each other for a long time and have an excellent relationship. The other 7 women do not know the 5 friends nor do they know each other. Whenever a subset of the five friends is equal to or greater than 50% of the number of people in another work group (for example, if there are two of the five friends in the work group of three or four people), then the group work becomes high performance It is desired to form a working group by selecting five women from the 12 women. What is the probability that the work group is high performing? Please indicate your answer in the space provided below as a number between zero and one, to four decimal places.
- SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.If dfBetween = 3, dfWithin = 10, MSWithin = 34.19, MSBetween = 2.11, and α = .01 and two groups have three cases and two groups have four cases, what is Tukey's HSD value? (One will need to refer to a Tukey table of critical values to solve this.)If U1 and U2 are both upper triangularmatrices, and L1 and L2 are lower triangular which of the following are triangular? [U1+U2, U1U2, U2^2, U1+L1, U1L1, L1+L2].
- A library subscribes to two different weekly news magazines, each of which is supposed to arrive in "Wednesday's mail. In actuality, each one may arrive on "Wednesday, Thursday. Friday, or Saturday. Suppose the two arrive independently of one another, and for each one P(Wed.) = .3, P(Thurs.) = .4, P(Fri.) = .2, and P(Sat.) = .1. Let Y= the number of days beyond Wednesday that it takes for both magazines to arrive (so possible Y values are 0, 1, 2, or 3). Compute the pmf of Y.[Hint: There are 16 possible outcomes; Y(W,W) = o, Y(F,Th) = 2. and soon.]how did the y' and 2y' apearred out of no where in line 74. Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which Ax = b does have a solution.