Tag Archives: orthogonal complements

Linear Algebra and Its Applications, Exercise 3.1.22

Posted on April 13, 2014 by hecker

Exercise 3.1.22. Consider the equation and the subspace of containing all vectors that satisfy it. Find a basis for , the orthogonal complement of . Answer:  is the nullspace of the linear system where Since is the nullspace of its … Continue reading →

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Linear Algebra and Its Applications, Exercise 3.1.20

Posted on April 6, 2014 by hecker

Exercise 3.1.20. Suppose is a subspace of . Show that . What does this mean? Answer: We first consider the case where ; in other words, contains only the zero vector. From exercise 3.1.18 we know that . The only … Continue reading →

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