The discussion revolves around the eigenvalue problem, specifically focusing on the expression involving a matrix A and the transformation A^2010 - 2A + 3I. Participants are exploring the implications of eigenvalues and eigenvectors in this context.
The discussion is active, with participants questioning assumptions and definitions related to eigenvalues. Some guidance has been offered regarding the relationship between eigenvalues and matrix operations, although there is no explicit consensus on the interpretation of the expressions involved.
There is a focus on the distinction between matrices and scalar values, with participants noting the importance of maintaining the matrix context when discussing eigenvalues. The original problem statement includes a visual element that is not accessible in the text format.
vishal007win said:2..
is dis correct!
You didn't answer my question. Here's a slightly different question. What does it mean to say that 3 is an eigenvalue of a matrix A?vishal007win said:it means that no. is the eigen value of new matrix formed by the expression..
A^2010 -2A+3I
Mark44 said:You didn't answer my question. Here's a slightly different question. What does it mean to say that 3 is an eigenvalue of a matrix A?
Mark44 said:I'm looking for an equation that involves A and 3.
No it isn't.temaire said:Also 1x
Mark44 said:No it isn't.
No, A is a matrix, so it can't be equal to any number, and A^2010 - 2A + 3I [itex]\neq[/itex] 2temaire said:So would it be enough to say that since A=1, A^2010 - 2A + 3I = 1 -2 + 3 = 2?