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#eigenstuff — Public Fediverse posts

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  1. Alright, future engineers!

    **Eigenvector:** A non-zero vector whose direction doesn't change when transformed by a matrix. It only scales!
    Ex: `Av = λv`, where `v` is the eigenvector & `λ` its eigenvalue.
    Pro-Tip: They uncover the natural directions of a matrix's action. Essential for system stability!
    #LinearAlgebra #EigenStuff #STEM #StudyNotes

  2. Alright, future engineers!

    **Eigenvector:** A non-zero vector whose direction doesn't change when transformed by a matrix. It only scales!
    Ex: `Av = λv`, where `v` is the eigenvector & `λ` its eigenvalue.
    Pro-Tip: They uncover the natural directions of a matrix's action. Essential for system stability!
    #LinearAlgebra #EigenStuff #STEM #StudyNotes

  3. Alright, future engineers!
    **Eigenvector:** A non-zero vector whose direction is unchanged by a linear transformation, only scaled. The scalar is the **Eigenvalue** (λ).
    Ex: `Ax = λx`
    Pro-Tip: They show a transformation's stable directions – crucial for system analysis!
    #LinearAlgebra #Eigenstuff #STEM #StudyNotes

  4. Alright, future engineers!
    **Eigenvector:** A non-zero vector whose direction is unchanged by a linear transformation, only scaled. The scalar is the **Eigenvalue** (λ).
    Ex: `Ax = λx`
    Pro-Tip: They show a transformation's stable directions – crucial for system analysis!
    #LinearAlgebra #Eigenstuff #STEM #StudyNotes