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Get Full Access to Elementary Linear Algebra With Applications - 9 Edition - Chapter 4.9 - Problem 36
Get Full Access to Elementary Linear Algebra With Applications - 9 Edition - Chapter 4.9 - Problem 36

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# Let A be a 3 x 5 matrix. (a) Give a/l possible values for the rank of A. (b) If the rank ISBN: 9780132296540 301

## Solution for problem 36 Chapter 4.9

Elementary Linear Algebra with Applications | 9th Edition

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Problem 36

Let A be a 3 x 5 matrix. (a) Give a/l possible values for the rank of A. (b) If the rank of A is 3. what is the dimension of its column space? (c) If the mnk of A is 3. what is the dimension of the solution space of the homogeneous system Ax = 0'1

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Math 1314 Lesson 9: Marginal Analysis Marginal Cost Suppose a business owner is operating a plant that manufactures a certain product at a known level. Sometimes the business owner will want to know how much it costs to produce one more unit of this product. The cost of producing this additional item is called the marginal cost. Example 1: Suppose the total cost in dollars per week by ABC Corporation for producing its best-selling product is given by(x) 10,000  3000x  0.4x .2 Find the actual cost of st producing the 101 item. First of all, if you calculate C(101), this is the actual cost of producing 101 items. Similarly, C(100) is the actual cost of producing 10items. So the cost of producing the 101 item can be found by computing the average rate of change, Cx))(Cx C (101) C (100) that is, by computing () hx = 101100 where x = 100 and h = 1. This will give us the actual cost of producing the 101 item. However, it is often inconvenient to use. For this reason, marginal cost is usually approximated by the instantaneous rate of change of the total cost function evaluated at the specific point of interest. That is to say, we’ll find the derivative and substitute in our point of interest. Example 2: Suppose the total cost in dollars per week by ABC Corporation for producing its 2 best-selling product is given by ( ) 10,000 3000 x 0.4 . Find C'(100) a

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##### ISBN: 9780132296540

The answer to “Let A be a 3 x 5 matrix. (a) Give a/l possible values for the rank of A. (b) If the rank of A is 3. what is the dimension of its column space? (c) If the mnk of A is 3. what is the dimension of the solution space of the homogeneous system Ax = 0'1” is broken down into a number of easy to follow steps, and 57 words. Elementary Linear Algebra with Applications was written by and is associated to the ISBN: 9780132296540. This full solution covers the following key subjects: . This expansive textbook survival guide covers 57 chapters, and 1519 solutions. Since the solution to 36 from 4.9 chapter was answered, more than 258 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 36 from chapter: 4.9 was answered by , our top Math solution expert on 01/30/18, 04:18PM. This textbook survival guide was created for the textbook: Elementary Linear Algebra with Applications, edition: 9.

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