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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
Posted in linear algebra
Tagged linear independence, permutation matrices, spanning set, subspace
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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
Posted in linear algebra
Tagged invertible matrices, permutation matrices, positive matrices, spanning set, subspace
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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
Posted in linear algebra
Tagged column space, left nullspace, nullspace, row space, spanning set
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