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Welcome to the Abstract Summer 2012 WikiEdit

Reddit study group for Benedict Gross' Algebra course.

Table of contents Edit

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  • edit 3.4.2
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  • edit 4.2.2
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  • new page 4.2.2
    created by Kzimmerman
    New page: Let T be a linear operator on which carries the line y = x to the line y = 3x. Using the standard basis for , with , we have , where k is a real...
  • edit 4.2.5
    edited by Kzimmerman diff
  • new page 4.2.5
    created by Kzimmerman
    New page: Let A be an nxn matrix, let V = denote the space of row vectors. Consider the linear operator defined by Tv = vA, let its matrix with respect to...
  • new page 4.3.5
    created by Kzimmerman
    New page: a) Let T be a linear operator on a vector space V with matrix with respect to some basis (v1,v2) of V. For this problem, we will identify each...
  • new page 4.4.7
    created by Kzimmerman
    New page: Let T be a linear operator on a finite-dimensional vector space V. a) Suppose T has two linearly independent eigenvectors with the same eigenvalue...
  • new page 4.4.2
    created by Kzimmerman
    New page: a) Let A be a real symmetric 2x2 matrix, . The eigenvalues λ of A are the roots of the characteristic polynomial, so they solve , or...
  • new page 4.3.10
    created by Kzimmerman
    New page: Consider the matrices and , where . We will show that A is similar to B if and only if . Suppose that . Then, we have two linearly independent...

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