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Create the following matrix by using vector notation for creating
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MATLAB: An Introduction with Applications
- 2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the head of .arrow_forwardEvaluate the following vector expression: a = [3 -6 -2] -3 Calculate 3(ax + az) and enter your answer in the answer box belowarrow_forwardLoblolly is a built-in R dataset that that records the growth of Loblolly pine trees. We are interested in the height column of Loblolly. The values in the height column can be converted into a vector of name x by the assignment: x <- Loblolly$height We can see the values in x by typing x and Return or Enter. Remember x <- Loblolly$height After this assignment, we can see the first six values in x by typing head(x) and Return or Enter a. Give the R code to assign the values in in the height column of Loblolly to the vector named x. (Easy-see above) b. Calculate the interquartile range of x using the R, IQR() function. c. Calculate the sum of the squares of the values in x. d. Calculate the sample mean of x. e. Calculate the sample variance of x. f. Calculate the sample standard deviation of x. f. Using R, calculate a trimmed mean of x. [ h.Enter your R script in the box below.arrow_forward
- Format: • Enter your answer as a column vector using the vector/matrix palette tool. Find Az for A = and z = Az = ab sin (a) if 8.arrow_forward-Consider the numbers 1, 2, 3. Enter these as components of a column vector and as components of a row vector.arrow_forwardFind the constants c1 and C2, such that vector = c1 +c2 6. 6. Give the answer for c1 only below. For example if c1 is 8, then write 8 as the answer.arrow_forward
- An electronics company has two production facilities, denoted A and B. During an average week, facility A produces 2000 computer monitors and 10,000 flat panel televisions, and facility B produces 4000 computer monitors and 18,000 flat panel televisions. (a) Give vectors a and b that give the weekly production amounts at A and B, respectively. a = 2000 10000 (b) Compute 6b. eBook 24000 108000 b = 4000 Describe what the entries tell us. 18000 The company produces 24000 5 3 computer monitors flat panel televisions computer monitors and 108000 (c) Determine the combined output from A and B over a 5-week period. computer monitors 30000 flat panel televisions 140000 flat panel televisions at facility B in 6 (d) Determine the number of weeks of production from A and B required to produce 32,000 monitors and 152,000 televisions. facility A X weeks facility B X weeks weeks.arrow_forwardExpress EC by combinations of the vectors a, b and 7.arrow_forward(Use R) Suppose x and y are two vectors of names of same length which are separated with a space. Write a code that finds the name(s) that are common to both vectors. For example, if x and y are the following vectors, X y dog cat rat bat cat dad dog monster it should return "dog" and "cat."arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning