Multiple Choice 1 point possible (graded results hidden)
Eigen value of inverse of matrix A is
Answers
Answered by
0
Answer:
It's from the book "linear algebra and its application" by gilbert strang, page 260.
(I−A)−1=I+A+A2+A3+...
Nonnegative matrix A has the largest eigenvalue λ1<1.
Then, the book says, (I−A)−1 has the same eigenvector, with eigenvalue 11−λ1.
Why? Is there any other formulas between inverse matrix and eigenvalue that I don't know?
Similar questions