The discussion revolves around calculating the eigenvalues of a 2x2 matrix. Participants are exploring the concept of eigenvalues and the process of determining them through the determinant of the matrix.
The discussion is active, with participants questioning assumptions about eigenvalue calculations. Some have provided guidance on determining the determinant and setting it to zero, while others reflect on their algebraic mistakes and clarify their understanding of the eigenvalue process.
There is a mention of algebraic errors in the calculations, which may have contributed to misunderstandings about the eigenvalues. Participants are encouraged to revisit their calculations and assumptions.
bmb2009 said:Homework Statement
Calculate the eigenvalues of the matrix
5 2
-3 0
Homework Equations
The Attempt at a Solution
Ok we were taught that eigenvalues were calculated by taking the determinant( A - λI) = 0. So just subtract a "λ" value from the diagnol entries of the given matrix... so why aren't the eigenvalues 5 and 0? Please help me understand why the e values are 2 and 3?
I have to ask: Why do you think the eigenvalues would be 5 and 0?bmb2009 said:Ok we were taught that eigenvalues were calculated by taking the determinant( A - λI) = 0. So just subtract a "λ" value from the diagnol entries of the given matrix... so why aren't the eigenvalues 5 and 0? Please help me understand why the e values are 2 and 3?