Tag Archives: linear independence

Linear Algebra and Its Applications, Exercise 3.1.2

Posted on February 2, 2014 by hecker

Exercise 3.1.2. For give an example of linearly independent vectors that are not mutually orthogonal, as well as mutually orthogonal vectors that are not linearly independent. Answer: The vectors and are linearly independent, since the second vector cannot be expressed … Continue reading →

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Linear Algebra and Its Applications, Review Exercise 2.33

Posted on January 25, 2014 by hecker

Review exercise 2.33. Consider the following factorization: a) What is the rank of ? b) Find a basis for the row space of . c) Are rows 1, 2, and 3 of linearly independent: true or false? d) Find a … Continue reading →

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Linear Algebra and Its Applications, Review Exercise 2.20

Posted on December 8, 2013 by hecker

Review exercise 2.20. Consider the set of all 5 by 5 permutation matrices. How many such matrices are there? Are the matrices linearly independent? Do the matrices span the set of all 5 by 5 matrices? Answer: An example member … Continue reading →

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