Linear Algebra
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Questions and Answers

Which basis is used to define the endomorphism u of R3 in Exercise 2?

  • Orthogonal basis
  • Canonical basis (correct)
  • Unit basis
  • Standard basis

    • What is the basis of Ker(u) in Exercise 2?

  • e2 + e3
  • e2 - e3
  • e1 + e3
  • e1 - e3 (correct)

    • Is the endomorphism u in Exercise 2 injective?

  • Not applicable
  • Cannot be determined
  • Yes
  • No (correct)

    • What is the rank of the endomorphism u in Exercise 2?

    <p>3</p> Signup and view all the answers

    What is the matrix representation of the endomorphism f in Exercise 4 with respect to the canonical basis of R3?

    <p>$\begin{bmatrix} 3 &amp; 2 &amp; -1 \ 0 &amp; 4 &amp; 0 \ -1 &amp; 2 &amp; 3 \ \end{bmatrix}$</p> Signup and view all the answers

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