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?
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.