Hi again
Just after an answer check if that's OK
The eigenvalues of Matrix A are -1,1 and 2. What are the eigenvalues of the Matrix
I have got the eigenvalues of 3I to be 3,3,3 so in the equation and then the inverse gives me
Is this correct?
Thanks
The identity matrix is always diagonal in any basis.
If a matrix A has these eigenvalues, then in a certain basis, the matrix A will be
Consider we're on this basis, we have :
And the inverse of a diagonal matrix is the diagonal matrix formed by the inverses of the original diagonal.