# Tag Archives: spanning set

## Linear Algebra and Its Applications, Review Exercise 2.20

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

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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## Linear Algebra and Its Applications, Review Exercise 2.8

Review exercise 2.8. Do the following: a) Find a matrix whose nullspace contains the vector . b) Find a matrix whose left nullspace contains the vector . c) Find a matrix with column space spanned by and row space spanned … Continue reading

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