4. A real, symmetric 3-by-3 matrix M has eigenvalues A₁ = 4, A₂ = 6 and A3 = -3. An eigen- vector corresponding to the eigenvalue A₁ = 4 is v₁ = and an eigenvector corresponding [ to the eigenvalue X₂ = 6 is v₂ = What is M? 0

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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4. A real, symmetric 3-by-3 matrix M has eigenvalues X₁ = 4, X₂
1
vector corresponding to the eigenvalue X₁ = 4 is v₁
-1
0
[4]
-2
to the eigenvalue X₂ = 6 is v₂ =
6 and X3 = -3. An eigen-
and an eigenvector corresponding
What is M?
Transcribed Image Text:4. A real, symmetric 3-by-3 matrix M has eigenvalues X₁ = 4, X₂ 1 vector corresponding to the eigenvalue X₁ = 4 is v₁ -1 0 [4] -2 to the eigenvalue X₂ = 6 is v₂ = 6 and X3 = -3. An eigen- and an eigenvector corresponding What is M?
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