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Prove that a matrix equation Ax = b is consi>tent if and

Elementary Linear Algebra: A Matrix Approach | 2nd Edition | ISBN: 9780131871410 | Authors: Lawrence E. Spence ISBN: 9780131871410 187

Solution for problem 86 Chapter 1.4

Elementary Linear Algebra: A Matrix Approach | 2nd Edition

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Elementary Linear Algebra: A Matrix Approach | 2nd Edition | ISBN: 9780131871410 | Authors: Lawrence E. Spence

Elementary Linear Algebra: A Matrix Approach | 2nd Edition

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Problem 86

Prove that a matrix equation Ax = b is consi>tent if and only if the rank of A and [A bJ arc equal.

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Customer‐centric marketing is only good for B2B businesses. 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Important components of a direct response offer include: Both incentive to encourage action and a call to action 2. Marketers should set specific objectives for branding development activities. True 5) Data driven marketing: Doing marketing based on data ­ Customers often bought similar or complementary items, Personalize recommended items on home pages/apps based on history and profile, Different customers react (open/click/purchase) to different emails, Segment the customers for email programs ­ Customers search for products on search box, Add new products based on keywords ­ Customers abandon shopping carts at a certain step, Redesign the step to decrease the rate of cart abandonment Driven marketing concept and process Objectives ­> Tests ­> Execution ­> Measurement → Measurements: Metrics—numbers—alone do not meet marketing and management needs. Only when the metrics are carefully chosen and reported in sufficient detail to guide strategic choices are business needs met. Objectives & Metrics: Data sources 1. Observation: Web metrics, App metrics, Social media metrics, Email metrics 2. Experiment: Testing 3. Conversation: Interview (individual or group). E.g. Usability testing & Survey Web metrics 1. Direct­ Data collection: Server request log & Tag ­ Visitor identification to aggregate data: IP & Registered user & Cookie 2. Panel (sample) Server request log: Each file request is recorded on the server ­ Data for each hit (file request):IP address, requesting computer, Date, time of request, Code indicating successful, failed request, Number of bytes of data transferred, Referring site, Browser, Operating system Tag: A few lines of codes placed on each page to collect and transfer data to the data server. Cookie: A small text file stored on a browser which is sent to the data server. Web analytic services: http://www.adobe.com/marketing­cloud/web­analytics.html, http://webtrends.com/, http://statcounter.com/ Panel: Collecting data from consumer panels ­Track multiple devices., Add profile data (might use survey) to web metrics, Track dynamic and masked IP addresses, Competition analysis, Track only a sample. App metrics: Same as web metrics & Quickly being integrated into existing platforms Social media metrics: Available on specialized platforms ­ Free from network. E.g. Facebook insights. Paid and free from specialized suppliers. E.g. http://simplymeasured.com/ Email metrics: Available on HTML emails & Use tag to collect data: bounce, open, clickthrough, share, etc. Experimental testing: A/B split is the simplest ­ Change only one element & Test ‘big things’ Test execution: Test new vs. control & Test version A vs. version B Testing: example Version A – The Contro Version B – The Test ­ New creative execution: Shorter product (hero) image, Move content ‘above fold’ (smaller images), White background ­ Outcomes:Revenue per visitor 15.82%, Average order value 13.3% (Not a simple metric such as click‐through) 1. Which of the following is a true statement about tagged web pages Neither: The users must give permission to have web pages tagged or Tagged web pages can identify users. 2. Only enterprises with sophisticated testing laboratories can conduct meaningful experimental tests. False 6) Websites Strategic context: Business websites are not an exercise in technology or aesthetics. They are an exercise in cost‐effective execution of marketing strategy. Websites must have objectives, be tested for usability, and be measured Website development process: 1. establish safe objectives ­ Increase sales revenue, Increase visibility and branding, Advertise, Provide customer service, Generate sales leads. Retain and grow customers, Build an online community, Provide cost savings 2. identify and describe target market ­ Who are they (A website can serve different groups of customers.), Their profiles, Their needs and wants, Their behaviors 3. design site content and navigation structure ­ Objectives & Target markets 4. conduct usability tests 5. deploy and tune site 6. measure and evaluate site effectiveness 7. refine and improve site effect. Above the fold ­­­> Remember: different screen sizes Golden triangle Content management system (CMS): Build and maintain websites without coding focus on the content ­ www.weebly.com www.wordpress.org. Other website design tips: Use search options, Avoid flash, Avoid videos that load automatically, Set the home page in columns, Use large fonts and white background, Avoid scrolling, Test on multiple platforms Usability testing can be fast and inexpensive Issues in usability testing: Don’t consider eliminating it, Be sure testers are target audience, Have testers perform one or more typical tasks on site, Ask them what they think, Frequent small‐scale tests are better than one large one Deployment and tuning:Upload to host server, Balance load, Monitor site performance Measure and evaluate: Technical task ­ Measuring and improving the site performance Marketing task ­ Measuring and improving the business effectiveness Google analytics: Set up a property, Insert tracking tag into Weebly sites, Use Google analytics: A good web design process: Remember the marketing objectives Learn from successful experience Track best practices and competitor websites Listen to and observe customers continually 1. 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Chapter 1.4, Problem 86 is Solved
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Textbook: Elementary Linear Algebra: A Matrix Approach
Edition: 2
Author: Lawrence E. Spence
ISBN: 9780131871410

Elementary Linear Algebra: A Matrix Approach was written by and is associated to the ISBN: 9780131871410. This textbook survival guide was created for the textbook: Elementary Linear Algebra: A Matrix Approach, edition: 2. Since the solution to 86 from 1.4 chapter was answered, more than 239 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 86 from chapter: 1.4 was answered by , our top Math solution expert on 12/27/17, 07:57PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 34 chapters, and 2741 solutions. The answer to “Prove that a matrix equation Ax = b is consi>tent if and only if the rank of A and [A bJ arc equal.” is broken down into a number of easy to follow steps, and 23 words.

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Prove that a matrix equation Ax = b is consi>tent if and