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A First Course in Linear Algebra

  • by Robert A. Beezer
  • Edition:
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  •   117
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Chapter: 1 / Q: T90
Provide an alternative for the second half of the proof of Theorem NMUS, without appealing to properties of the reduced row-echelon form of the coefficient matrix
Chapter: 3 / Q: C12
Solve the given matrix equation for α, or explain why no solution exists:
Chapter: 3 / Q: C13
Solve the given matrix equation for α, or explain why no solution exists:
Chapter: 3 / Q: M20
Suppose S = B1, B2, B3, . . . , Bp is a set of matrices from Mmn. Formulate appropriate definitions for the following terms and give an example of the use of each
Chapter: 3 / Q: M21
Show that the set S is linearly independent in M2,2
Chapter: 3 / Q: M22
Determine if the set S below is linearly independent in M2,3
Chapter: 4 / Q: C20
Working within the vector space P3 of polynomials of degree 3 or less
Chapter: 4 / Q: C22
In the vector space of polynomials P3, determine if the set S is linearly independent or linearly dependent
Chapter: 4 / Q: C23
Determine if the set S = {(3, 1), (7, 3)} is linearly independent in the crazy vector space C (Example CVS)
Chapter: 4 / Q: C24
In the vector space of real-valued functions F =
total questions: 117
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