Tag Archives: subspace

Linear Algebra and Its Applications, Exercise 3.3.9

Posted on September 17, 2016 by hecker

Exercise 3.3.9. Suppose that is a matrix such that . a) Show that is a projection matrix. b) If then what is the subspace onto which projects? Answer: a) To show that is a projection matrix we must show that and also … Continue reading →

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Linear Algebra and Its Applications, Review Exercise 2.32

Posted on January 19, 2014 by hecker

Review exercise 2.32. a) Find the subspace of such that for any vector in the subspace we have . b) Find a matrix for which this subspace is the nullspace. c) Find a matrix for which this subspace is the … 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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Linear Algebra and Its Applications, Review Exercise 2.9

Posted on November 2, 2013 by hecker

Review exercise 2.9. Answer the following questions for the vector space of 2 by 2 matrices: a) Does the set of 2 by 2 matrices with rank 1 form a subspace? b) What is the subspace spanned by the 2 … Continue reading →

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