Given that the eigenvalues of the matrix A below are -2, 0 (-2 has algebraic multiplicity two) find a basis for each eigenspace of the matrix. Is the matrix diagonalizable? If so, find an invertible matrix P and a diagonal matrix D such that the matrix A= PDP-1? A = [-5 1 4 -3 -1 4 1 2]

all of them.

step-by-step explanation:

every month has 28 days. some just continue on after reaching 28.

asdsad

step-by-step explanation:

i'm not really sure how to answer that

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0