Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (13 of 35) Basis=? for a 3x3 Matrix: Ex. 2

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In this video I will find basis=? for a 3x3 matrix A and eigenvalue=1.

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  1. Michel van Biezen
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Комментарии
Автор

Also wondering why we don't get a third vector by setting x=0. Could someone clarify this to me?

Grajjio
Автор

sir why didn't you make x =0 ? and get a 3 vector

asmaaj
Автор

Professor, why did we not substitute x=0 and find vector v3? The vector set would contain 3 vectors?

marinerashwin
Автор

sir, why didnt u find the eigenvector when letting x=0 ??? shouldnt we have 3 eigenvector for the set of bases??

abdulrahmanmohamed
Автор

In my understand, we can create v3 = v1*3/4 - v2 = [0, 5*3/4, -5]
So that the v3 vector is dependent on v1 and v2 then it should not be a basis of matrix
Am i right?

HaTran-pujo
Автор

Why didn't you make x = 0? And get a third vector?

rooneymara
Автор

need to learn how to find the value first

stevenhamer