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Question: Suppose A = QR is a QR factorization of an m X n matrix A (with linearly independent columns). Partition A as [A1 A2], where A1 has p columns. Show how to obtain a QR factorization of A1, and explain why your factorization has the appropriate properties.
Open the file US Tobacco, which contains data on the total amount of tobacco produced in the US. a. Make a scatter graph of the data with trendline. Copy and paste your graph here.
Determine the joint distribution of the least-squares solution and determine the distribution of the linear regression line at an arbitrary explanatory point x, that is, the distribution
on three consecutive passes, a football team gains 9 yards, loses 16 yards, and gains 30 yards. What number represents the total net yardage?
Using the formula sin A =under root 1+ cos2A /2 . Find value of 30 degree, it is being given that cos 60 degree =1/2.
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
Assignment 2. Recall that a tournament is a complete graph with directed edges (so we think of the vertices as players in a tournament in which every pair of players play each other, with a directed edge (u, v) if u beats v). Fix a positive intege..
Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
In terms of flows of produced goods and services. (Describe in detail how two approaches to assigning dollar values might be applied.)
Determine the number of fence posts, placed 1 meter apart, needed to make a 100 meter fence.
Find the angle between the diagonal of a cube of side length 3 and the diagonal of one of its faces. The angle should be measured in radians.
implementing a marketing databaseevery company gathers information on customer preferences and buying history in order
Derivation of Adams-Moulton. Determine the coefficients β0, β1, β2| for the third order, 2-step Adams-Moulton method. We will do this two different ways.
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