The characteristic polynomial of a 5x5 matrix is given below. find the eigenvalues and their multiplicities.
λ5-11λ4+18λ3

i know the answer is 0(multiplicity 3), 2(multiplicity 1), 9 (multiplicity 1)

but i have absolutely no idea how to get the answer. a question similiar to this will be on my test. show steps to solve. i often get lost in the vocab.

Step-by-step explanation:

given that the characteristic polynomial of a 5x5 matrix is given below.

The solution is simple

Equate the above 5th degree polynomial in lambda to 0 and solve for lambda

We would have 5 solutions

Equating to 0 and factorising we get

Equate each factor to 0

Since lambda has power 3 , we say that 0 is a root with multiplicity 3

(this means 3 times same value repeated as root)

Other roots are 9 and 1 with multiplicity 1 each.

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation:

$15 each

step-by-step explanation:

$45/3 children= $15 each