Comments on: Two Eigenvectors Corresponding to Distinct Eigenvalues are Linearly Independent https://yutsumura.com/two-eigenvectors-corresponding-to-distinct-eigenvalues-are-linearly-independent/ Tue, 23 Jan 2018 13:34:45 +0000 hourly 1 https://wordpress.org/?v=5.3.4 By: Yu https://yutsumura.com/two-eigenvectors-corresponding-to-distinct-eigenvalues-are-linearly-independent/#comment-5117 Tue, 23 Jan 2018 13:34:45 +0000 https://yutsumura.com/?p=1418#comment-5117 Dear Alan,

Thank you for finding the typo. I fixed it. Thank you!

]]> By: Alan https://yutsumura.com/two-eigenvectors-corresponding-to-distinct-eigenvalues-are-linearly-independent/#comment-5114 Tue, 23 Jan 2018 07:28:09 +0000 https://yutsumura.com/?p=1418#comment-5114 There is a typo on the first line of the proof. “To show that the vectors v1,v2 are linearly dependent” should say independent.

]]> By: A Linear Transformation Preserves Exactly Two Lines If and Only If There are Two Real Non-Zero Eigenvalues – Problems in Mathematics https://yutsumura.com/two-eigenvectors-corresponding-to-distinct-eigenvalues-are-linearly-independent/#comment-1620 Fri, 23 Jun 2017 21:31:44 +0000 https://yutsumura.com/?p=1418#comment-1620 […] general eigenvectors corresponding to distinct eigenvalues are linearly independent. Thus, $mathbf{v}_1, mathbf{v}_2$ are linearly independent. Hence the lines $L_1, L_2$ spanned by […]

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