common_mistakes - MAS 4105Fall 1994 Some common mistakes...

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MAS 4105—Fall 1994 Some common mistakes you shouldn’t make. 1. Expressions that do not have “=” signs in them are not equations. In particular: A vector is not an equation. A sum of vectors is not an equation. A linear combination of vectors is not an equation. An inequality is not an equation. 2. The word solution should be used correctly. Equations and inequalities can have solutions. However, A vector does not have a solution. A matrix does not have a solution. . 3. A vector is not the same thing as a vector space . 4. A basis is not the same thing as the vector space it’s a basis of. 5. A basis is not the same thing as a linear combination of vectors. 6. A basis is not the same thing as a sum of vectors. 7. A basis is not the same thing as a solution set to a system of linear equations. 8. A set of vectors is not the same thing as a linear combination of vectors. 9. A
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This note was uploaded on 12/27/2011 for the course MAS 4105 taught by Professor Rudyak during the Spring '09 term at University of Florida.

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common_mistakes - MAS 4105Fall 1994 Some common mistakes...

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