Given the matrix A, do the specified operations (by hand, no Matlab): 12 12 16 1....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Given the matrix A, do the specified operations (by hand, no Matlab): 12 12 16 1. Calculate the determinant 2. Calculate the determinant of the matrix created by replacing the last row with the first. The first row stays the same, therefore the both the first and third rows consist of 8, 7, 1. 3. Calculate the inverse of matrix A 4. Given the system of equations: 3x1 + 5x2 2x3 + 9x4 = 107 X1 + 5x2 - 4x3 - 2x, = -26 -8x, + 6x2 + 9x - 7x4 = 185 12x, - 9x2 + 10x3- 8x4 = 110 a. Express the system in matrix notation Ax = b b. Using the 3 elementary matrix operations (row interchange, scalar multiplication of row, addition of scalar multiplied row to another row), reduce the matrix to upper diagonal form. Remember to carry out all operations on both the coefficient matrix and the RHS. c. Back substitute to calculate the solution vector x. 00 Given the matrix A, do the specified operations (by hand, no Matlab): 12 12 16 1. Calculate the determinant 2. Calculate the determinant of the matrix created by replacing the last row with the first. The first row stays the same, therefore the both the first and third rows consist of 8, 7, 1. 3. Calculate the inverse of matrix A 4. Given the system of equations: 3x1 + 5x2 2x3 + 9x4 = 107 X1 + 5x2 - 4x3 - 2x, = -26 -8x, + 6x2 + 9x - 7x4 = 185 12x, - 9x2 + 10x3- 8x4 = 110 a. Express the system in matrix notation Ax = b b. Using the 3 elementary matrix operations (row interchange, scalar multiplication of row, addition of scalar multiplied row to another row), reduce the matrix to upper diagonal form. Remember to carry out all operations on both the coefficient matrix and the RHS. c. Back substitute to calculate the solution vector x. 00
Expert Answer:
Answer rating: 100% (QA)
1 MATRIX 8 7 1 0 3 12 8 12 16 Let this matrix be demoted by A A 8 7 1 0 3 12 8 12 16 det A 8316 1212 7 016 812 1012 83 848 144 796 24 896 672 24 768 6... View the full answer
Related Book For
Quantitative Methods for Business
ISBN: 978-0324651751
11th Edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey cam
Posted Date:
Students also viewed these mathematics questions
-
Given the matrix A below, use the extended echelon form of A to answer each part of this problem. In each part, find a linearly independent set of vectors, S, so that the span of S, (S), equals the...
-
In Exercises 1-4, evaluate the given determinant using elementary row and/or column operations and Theorem 4.3 to reduce the matrix to row echelon form. 1. The determinant in Exercise 1 2. The...
-
In Exercises 1-3, use elementary row operations to reduce the given matrix to (a) row echelon form and (b) reduced row echelon form. 1. 2. 3. 001 1 2 524 352
-
What is a time series? Explain the four characteristics that time series may exhibit and provide some practical examples.
-
Go to a local retail business, such as a bookstore, clothing shop, gift shop, grocery store, hardware store, or car dealership. Ask to speak to someone who is knowledgeable about the store's methods...
-
Find the following values. Compounding/discounting occurs annually. a. An initial $200 compounded for 10 years at 4% b. An initial $200 compounded for 10 years at 8% c. The present value of $200 due...
-
Priscilla Webster was dining at her favorite Massachusetts seafood restaurant when matters went horribly wrong. She began choking on a fishbone that had been lurking in her seafood chowder. After a...
-
During 2016, Hardy Merchandising Company purchased $40,000 of inventory on account. Hardy sold inventory on account that cost $24,500 for $38,000. Cash payments on accounts payable were $22,000....
-
Solving via linear equation No unread replies.No replies. A small country exports soybeans and flowers. Soybeans require 8 workers per acre, flowers require 12 workers per acre, and 100,000 workers...
-
The Dover Direct Insurance Agency began operations on June 1, 2018. In the month of June, the following transactions occurred: June 2: Dover Direct's owner invested $80,000 (the par value of the...
-
Tom and Mara started working together two years ago to provide computer consulting services in their small town. They never discussed the nature of their business (although Tom once stated he had no...
-
The U.S. Commercial Service prepares reports known as the Country Commercial Guide for countries of interest to U.S. investors. Utilize the Country Commercial Guide for Russia to gather information...
-
You are a senior manager in a U.S. automobile company considering investing in production facilities in China, Russia, or Germany. These facilities will serve local market demand. Evaluate the...
-
Read the Management Focus titled Burberry Shifts Its Entry Strategy in Japan and then answer the following questions: a. Why did Burberry initially choose a licensing strategy to expand its presence...
-
The desert kingdom of Saudi Arabia is a rarity in the modern world, an absolute monarchy whose laws are based upon interpretations of a religious text, the Quran, the holy book of Islam. Despite...
-
When Bangladesh gained independence from Pakistan in 1971 after a brutal civil war that may have left as many as 3 million dead, the U.S. National Security Adviser, Henry Kissinger, referred to the...
-
As a Chief Financial Officer (CFO) of IU South Bend, you realized that IUSB had idle (or surplus) cash at the end of last fiscal year, December 31, 2023. The cash will not be needed for the operation...
-
Using thermodynamic data from Appendix 4, calculate G at 258C for the process: 2SO 2 (g) + O 2 (g) 88n 2SO 3 (g) where all gases are at 1.00 atm pressure. Also calculate DG8 at 258C for this same...
-
Find the solutions that satisfy the following constraints: a. 4A + 2B 16 b. 4A + 2B 16 c. 4A + 2B = 16
-
CHB, Inc., is a bank holding company that is evaluating the potential for expanding into a 13-county region in the southwestern part of the state. State law permits establishing branches in any...
-
Using the data obtained in Problem 16, construct a portfolio from Apple, AMD, and Oracle that matches the Information Technology S&P index as closely as possible. Use the return data for the...
-
Identify the most promising areas of research for future researchers in the area of hedge fund systemic risk.
-
Discuss how hedge funds and the potential for shadow banking may contribute to systemic risk and the prospect for contagion.
-
Explain the relation between hedge fund characteristics and risks.
Study smarter with the SolutionInn App