Write the element of H in the form a 1 a 2 i a 3 j a 4 k for a i R (1 3i)(4j 3k) 1 ...

Write the element of H in the form a 1 + a 2 i + a 3

Question:

Write the element of H in the form a₁ + a₂i + a₃j + a₄k for a_i ∈ R.

[(1 + 3i)(4j + 3k)]^-1

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

See More Books

Question Posted: Jan 04, 2023 05:05 AM

See More Questions

Write the element of H in the form a 1 + a 2 i + a 3 j + a 4 k for a i R. (i + j) -1
Write the element of H in the form a 1 + a 2 i + a 3 j + a 4 k for a i R. i 2 j 3 kji 5
Write the element of H in the form a 1 + a 2 i + a 3 j + a 4 k for a i R. (i + 3j)(4 + 2j - k)
Kenneth Tully and Toby Benning began a new consulting business on January 1, 2020. They organized the business as a C corporation, KT, Inc. During 2020, the corporation was successful and generated...
Consider the case where there are only two ordered pairs in the data set. What must be true about the residuals?
What are the various components required for determining the sample size for the mean? Explain in detail the meaning and relevance of the concept of acceptable sampling error. How is sampling error...
Calculate overhead variances from the following data: Standard Actual Fixed overheads (Rs) 8,000 8,500 Variable overheads (Rs) 12,000 11,200 Output in units 4,000 3,800
Brooks Corp. is a medium-sized corporation that specializes in quarrying stone for building construction. The company has long dominated the market, and at one time had 70% market penetration. During...
estimators homes, Mercer Asbestos Removal Company removes potentially toxic asbestos insulation and related products from buildings. There has been a long-simmering dispute between the company's...
Verify that (a) (2 - i) - i(1 - 2i) = -2i; (b) (2, - 3)(-2, 1) = (-1, 8) (c) (3, 1)(3-1)( TO 5 10 .
Find all generators of the cyclic multiplicative group of units of the given finite field. (Review Corollary 6.16.) Z 23 Data from 6.16 Corollary If a is a generator of a finite cyclic group G of...
Make a table of values of (n) for n 30.
Explain the distinction between a qualified and unqualified auditors' report. b Describe three important elements of an unqualified auditors' report.
From a square whose side has length $x$, measured in inches, create a new square whose side is 5 in. longer. Find an expression for the difference between the areas of the two squares as a function...
Sketch the requested conic sections in Problems 14-23 using the definition. A circle with radius 5
Find the present value of the ordinary annuities in Problems 21-32. Amount of Deposit m 23. $250 Frequency n semiannually Rate r 8% Time t 30 yr
Characterize the types of investments that are most vulnerable to political risk. Characterize those that are least vulnerable. What factors influence an investments vulnerability? On a scale of 1 to...
Refer to the following tree diagram for a two-stage experiment. Find the probabilities in Problems 1-6. $P(B) $ E E A B C A B C
Determine the winner using the Borda count method. The employees of an accounting firm are planning to have lunch delivered to a meeting. Their choices are deli sandwiches (D), pizza (P), and burgers...
Wal-Mart is the second largest retailer in the world. The data file on the disk holds monthly data on Wal-Marts revenue, along with several possibly related economic variables. a) Using computer...
According to a PEW Research Center survey, the mean student loan at graduation is $25,000. Suppose that student loans are normally distributed with a standard deviation of $5,000. A graduate with a...
Exercise 4.67 addressed the problem of setting an appropriate speed limit on highways. Automotive experts believe that the correct speed is the 85 th percentile. Suppose that the speeds on a highway...
Economists frequently make use of quintiles (i.e., the 20th, 40th, 60th, and 80th percentiles) particularly when discussing incomes. Suppose that in a large city household incomes are normally...
Kirk and Spock formed the Enterprise Company in 2010 as equal owners. Kirk contributed land held an investment ($50,000 basis; $100,000 FMV), and Spock contributed $100,000 cash. The land was used in...
Pedro lives in Puerto Rico and had a net taxable income of $35,000 for the year 20X1. Your gross income totals $60,000. What is Pedro's regular income tax for 20X1? a.$4,620 b.$4,900 c.$2,318 d.$2,520
The change in cash is equal to the change in liabilities less the change in equity plus the change in noncash assets. O True False

Write the element of H in the form a 1 + a 2 i + a 3

Question:

Step by Step Answer:

1 3i4j3k 4j3k ...View the full answer

A First Course In Abstract Algebra

Students also viewed these Mathematics questions