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]

65

Step-by-step explanation:

if they are similar their sides are in proportion and so are the corresponding medians

to see their corresponding sides line up the names of the triangles

N  Q  Z

⇵⇵⇵

C  B  K

BK / QZ = 45/27 ; substitute whit what you see in the picture

(4x+1) / (2x+7)  = 45/27 ; cross multiply

27( 4x+1) = 45( 2x+7) ; distribute

108x + 27 = 90 x + 315; subtract 90x and 27 from both sides

108x -90x = 315 -27; combine like terms

18x = 288; divide both sides by 18

x=16

BK = 4* 16 +1 = 65