Question

Links - Northern Vis NVCC :: Single Sign-On to a N Quiz: Module 7: Assigni x https://learn.vccs.edu/courses/317174/quizzes/2481199/take O 6,56 Question 4 1 pts Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. OP=[2.1].0 = [88] OP=[2.1],D=[12] n OP1/15 -2/15 [2/5 1/5 OP- L0-09 1/15 -2/51 D 1 pts Question 5 ЕВ

Answer 1

4. The gives malsin is [2.] 2. A (say) The chanallenistic equation of A is 3rd 2 20 2 2 (3-d) (6-d) -4 - 0 18 – Ide do 4 dogd + 1420 do-td-2dt 14 (-7) -21d-7) 20 (d-7) (1-2)=0 A has two definit eogem values 247. () be the eigen veilon connerponding eng to the en value a them AUI 22 le, 32 26 34 of 2x2 2x 2x of 6x2) 2 X2 -) X + 2x2 2x + 482 these x = -24 0 gives vi - 2x2 HL Ag coin let be the etyemwellon commefronding to the reegenvallee 7. Then 74, FYL AU, 72 3 + 2/2 27, - 49 + 2% 29,- By These guves, 3 1 2 O 2

i V2 to each One (2) taking eigen vellon connesfonding eigen value we get two orthogonal eigen verlons (7) The comesponding orodhonormal Bogen to (2) vs (3) 7) vecloros let P 2 Then f is osofhogonal malaria. (23)(3-? Now AP 2 V5 24 12 -4.6. Volty 14 2 2 7 0 to ( 112 PD, where a 17 3) 2 PTAP =D 2 whene so, 7 D 15 2 2 7 – 285 285 WE