Please need answer the first 4 parts part a part B part C and pard D. Please type the answer by computer thank you 1 The linear transformation T: R3 – R³, T(7) = A, is defined by the matrix A relative to the standardbasis B={e1, e2, ē3}:%3D10.0 2A = 0 302 0ei =0.10.10.A. Find the eigenvalues {A;} for A.2 Find the set of orthornormal eigenvectors {pi}.E Show that the P = Pi P2 p3] is symmetric, i.e. PT = P-1%3D%3D0.0.9. Show that D = PT AP =%3D0.T.E Bonus. Show that pi' Api = A14 D is the matrix for T with respect to the eigenbasis B'={p1,p2, P3}.i. Is P from 3. the transition matrix from B' to B?Hint: Does [B' B] → |I P'| produce the same P?ii. What do each of the eigenvectors look like with respect to the eigenbasis?Hint: Pi]p = P Pi]B:%3D

Name: Please need answer the first 4 parts part a part B part C and pard D.
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: Please need answer the first 4 parts part a part B part C and pard D. Please type the answer by computer thank you 1 The linear transformation T: R3 – R³, T(7) = A, is defined by the matrix A relative to the standardbasis B={e1, e2, ē3}:%3D10.0 2A =