- #1
brydustin
- 205
- 0
I was surprised that I have never had to do this in so long and forgot the basic way to factor out a scalar multiple when a matrix is raised to a certain power (for example -1 for inverse matrices).
Basically, I just want some confirmation:
(λT)^n= λ^n (T^n ) ∶ for λ ϵ F and Tϵ L(V).
For example:
(λT)^(-1)=(1/λ) T^(-1)
or…. (λI-T)^(-1)=(1/λ) (I-T/λ)^(-1)
Basically, I just want some confirmation:
(λT)^n= λ^n (T^n ) ∶ for λ ϵ F and Tϵ L(V).
For example:
(λT)^(-1)=(1/λ) T^(-1)
or…. (λI-T)^(-1)=(1/λ) (I-T/λ)^(-1)