Reference no: EM131312095 , Length:
Question 1:
For the system: x + y = 4
2x - 2y = 4
Sketch the graph for the row picture.
Sketch the graph for the column picture.
Question 2:
Find the LU factorization of A
Solve Lc=b to find c, then solve Ux = c to find x.
Question 3:
Identify a vector that lies in each of the four fundamental spaces of the system below, prove your choice is an element of the space, and use these to illustrate the relationships between pairs of the fundamental spaces.
x + 2y - 2z = b1
2x + 5y - 4z = b2
4x + 9y - 8z = b3
Question 4:
If addition in R2 adds an extra 1 to each component so that 
and scalar multiplication remains unchanged which of the 8 requirements of a vector space fail to hold?
Question 5:
Show that the set of upper triangular 3 x 3 matrices forms a subspace.
Question 6:
Find solvability condition, the particular solution(s) the special solution(s), and the complete solution for the following system.
1u + 2v + 3w + 5z = 0
2u + 4v + 8w + 12z = 6
3u + 6v + 7w + 13z = -6
Question 7:
Write a matrix that calculates the slope of a linear equation and show that the resulting transformation is linear.
Question 8:
Use Gram-Schmidt to find an orthogonal basis (not normalized) for the vectors
Question 9: Find the equation y = C + Dx of the least-squares line that best fits the data points (2,1); (5,2); (7,3).
Question 10:
Use Cramer's rule to solve the system:
u + 3v = 0
2u + 4v = 6
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Is organized religion necessary for social organization
: DISCUSS the following: According to the Interactionist Perspective, what does religious membership, worship, and organization provide the individual member of society? Is organized religion necessary for social organization? Why or why not?
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Provide a qualitative explanation for these observations
: River water is often muddy, whereas seawater is not. At the confluence of a river with the sea, a large silt deposit is always observed. Based on the principles of charged interfaces, provide a qualitative explanation for these observations.
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What effect would rising rates have upon corporate earnings
: what effect would rising rates have upon the Consumer financing for big-ticket items such as autos and homes; the present and future values of annuities; the NPV calculation; the WACC; and corporate earnings?
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Write browns memo to home office to report on her purchase
: Write Brown's memo to the home office to report on her purchases.- Include the store's balance sheet as the final part of your memo. Prepare a T-account to compute the balance for Cash.
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Calculate the slope of a linear equation
: Write a matrix that calculates the slope of a linear equation and show that the resulting transformation is linear - Show that the set of upper triangular 3 x 3 matrices forms a subspace.
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Applying key skills
: Describe the key skills you learned in this course. Explain how you expect to use those skills in your future academic, personal, and / or professional life.
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For the company walmart
: For Module 3, consider the organization's mission and strategy from the perspective of its internal business processes (from your work on the case, your previous course work, and your background reading, you should be reasonably clear what such bu..
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Analyze why multinational corporation might decide to borrow
: Determine key reasons why a multinational corporation might decide to borrow in a country such as Brazil, where interest rates are high, rather than in a country like Switzerland, where interest rates are low.
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Analyze the impact of business transactions on accounts
: Analyze the impact of business transactions on accounts.- State whether each event (1) increased, (2) decreased, or (3) had no effect on the total assets of the business. Identify any specific asset affected.
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