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# Dimension Theorem Let U and V be subspaces of Rn. In the case that U V = {0}, we have

ISBN: 9780136009290 436

## Solution for problem 15 Chapter 5.6

Linear Algebra with Applications | 8th Edition

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Linear Algebra with Applications | 8th Edition

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Problem 15

Dimension Theorem Let U and V be subspaces of Rn. In the case that U V = {0}, we have the following dimension relation dim (U + V) = dim U + dim V (See Exercise 18 in Section 4 of Chapter 3.) Make use of the result from Exercise 14 to prove the more general theorem dim (U + V) = dim U + dim V dim(U V)

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Finite Mathematics Chapter 3 Section 1.1 Operations Identities 0 - Zero Addition/ Subtraction 1 - One Multiplication/ Division  Zero is the additive Identity as displayed above. You can add or subtract zero from any number without changing that number's value.  One is the multiplicative identity as displayed above. You...

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##### ISBN: 9780136009290

The full step-by-step solution to problem: 15 from chapter: 5.6 was answered by , our top Math solution expert on 03/15/18, 05:24PM. Linear Algebra with Applications was written by and is associated to the ISBN: 9780136009290. Since the solution to 15 from 5.6 chapter was answered, more than 206 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 47 chapters, and 921 solutions. The answer to “Dimension Theorem Let U and V be subspaces of Rn. In the case that U V = {0}, we have the following dimension relation dim (U + V) = dim U + dim V (See Exercise 18 in Section 4 of Chapter 3.) Make use of the result from Exercise 14 to prove the more general theorem dim (U + V) = dim U + dim V dim(U V)” is broken down into a number of easy to follow steps, and 69 words. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 8.

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