Contemporary Mathematics For Business & Consumers, Loose-leaf Version
8th Edition
ISBN: 9781305867185
Author: Robert Brechner, Geroge Bergeman
Publisher: South-Western College Pub
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Chapter 1.III, Problem 22RE
To determine
To calculate: The rounded estimate and the exact answer of the division,
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
Find the Laplace Transform of the function to express it in frequency domain form.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Chapter 1 Solutions
Contemporary Mathematics For Business & Consumers, Loose-leaf Version
Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Write the following whole numbers in numerical...Ch. 1.I - Write the following whole numbers in numerical...
Ch. 1.I - Write the following whole numbers in numerical...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Prob. 20RECh. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - 23. According to the American Wind Energy...Ch. 1.I - According to the Financial Times, in a recent...Ch. 1.II - Add the following sets of whole numbers and verify...Ch. 1.II - Prob. 4TIECh. 1.II - Prob. 1RECh. 1.II - Prob. 2RECh. 1.II - Prob. 3RECh. 1.II - Prob. 4RECh. 1.II - Prob. 5RECh. 1.II - 2,339+118+3,650+8,770+81+6=Ch. 1.II - Prob. 7RECh. 1.II - Prob. 8RECh. 1.II - Prob. 9RECh. 1.II - Estimate the following by rounding each number all...Ch. 1.II - Prob. 11RECh. 1.II - Prob. 12RECh. 1.II - Prob. 13RECh. 1.II - At Cherry Valley Farms, a farmer plants 350 acres...Ch. 1.II - Prob. 15RECh. 1.II - Prob. 16RECh. 1.II - Prob. 17RECh. 1.II - Prob. 18RECh. 1.II - Prob. 19RECh. 1.II - Prob. 20RECh. 1.II - Prob. 21RECh. 1.II - Prob. 22RECh. 1.II - Prob. 23RECh. 1.II - Subtract the following numbers.
24. Subtract 5,868...Ch. 1.II - Subtract the following numbers.
25. Subtract...Ch. 1.II - The beginning inventory of the Designer Shoe Salon...Ch. 1.II - Prob. 27RECh. 1.II - 28. Use the U.S Postal Service Mail Volume graph...Ch. 1.II - Prob. 29RECh. 1.II - An Allied Vans Lines moving truck picks up loads...Ch. 1.II - A personal balance sheet is the financial picture...Ch. 1.III - Multiply the following numbers and verify your...Ch. 1.III - Divide the following numbers and verify your...Ch. 1.III - Prob. 1RECh. 1.III - Multiply the following numbers and verify your...Ch. 1.III - Prob. 3RECh. 1.III - Prob. 4RECh. 1.III - Prob. 5RECh. 1.III - Prob. 6RECh. 1.III - Prob. 7RECh. 1.III - Prob. 8RECh. 1.III - Prob. 9RECh. 1.III - Prob. 10RECh. 1.III - Prob. 11RECh. 1.III - Dazzling Designs made custom drapery for a client...Ch. 1.III - Prob. 13RECh. 1.III - There are 34 stairs from bottom to top in each of...Ch. 1.III - Prob. 15RECh. 1.III - 16. Bob Powers, a consulting electrical engineer,...Ch. 1.III - Prob. 17RECh. 1.III - Prob. 18RECh. 1.III - Prob. 19RECh. 1.III - Prob. 20RECh. 1.III - Prob. 21RECh. 1.III - Prob. 22RECh. 1.III - Prob. 23RECh. 1.III - Tip-Top Roofing has 50,640 square feet of roofing...Ch. 1.III - 25. A calculator uses eight circuit boards, each...Ch. 1.III - 26. Eric Shotwell borrows $24,600 from the...Ch. 1.III - A 16-person college basketball team is going to a...Ch. 1.III - You have just purchased a 65-acre ranch for a...Ch. 1.III - As the IT manager for FastNet Enterprises, you...Ch. 1.III - 30. You are the owner of Decorama Flooring. Todd...Ch. 1 - 1. The number system most widely used in the world...Ch. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Rounding all the way is a process of rounding...Ch. 1 - Prob. 7CRCh. 1 - 8. When performing addition, we write the addends...Ch. 1 - 9. The mathematical process of taking away, or...Ch. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - 14. Show four ways to express 15 divided by 5....Ch. 1 - Read and write the following whole numbers in...Ch. 1 - Read and write the following whole numbers in...Ch. 1 - Prob. 3ATCh. 1 - Prob. 4ATCh. 1 - Round the following numbers to the indicated...Ch. 1 - Round the following numbers to the indicated...Ch. 1 - Prob. 7ATCh. 1 - Prob. 8ATCh. 1 - Prob. 9ATCh. 1 - Prob. 10ATCh. 1 - Prob. 11ATCh. 1 - Prob. 12ATCh. 1 - Prob. 13ATCh. 1 - Prob. 14ATCh. 1 - Prob. 15ATCh. 1 - The following chart shows the number of meals...Ch. 1 - Prob. 17ATCh. 1 - 18. The stadium parking lot at Fairview College...Ch. 1 - Prob. 19ATCh. 1 - Facebook reported that for one three-month period,...Ch. 1 - You are in charge of organizing the annual...Ch. 1 - Prob. 22ATCh. 1 - Prob. 23ATCh. 1 - A banana nut bread recipe calls for 2 cups of...Ch. 1 - Brian Hickman bought 2,000 shares of stock at $62...Ch. 1 - 26. The Canmore Mining Company produces 40 tons of...Ch. 1 - Prob. 27ATCh. 1 - The Iberia Corporation purchased a new warehouse...Ch. 1 - A flatbed railroad car weighs 150 tons empty and...Ch. 1 - The Spring Creek Police Department has been asked...Ch. 1 - Prob. 31ATCh. 1 - John Rock has narrowed down his selection of a new...Ch. 1 - Prob. 33AT
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