第3题(15分):给定矩阵(Given the following matrix) 1 -1 A = -1 -1 1 -1 -1 -1 1 问该矩阵是否可对角化?如可对角化,求出相应的对角矩阵A及可逆矩阵 P 使得 PAP=A,并求出A™

Business, Finance, Economics, Accounting, Operations Management, Computer Science, Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Algebra, Precalculus, Statistics and Probabilty, Advanced Math, Physics, Chemistry, Biology, Nursing, Psychology, Certifications, Tests, Prep, and more.
Post Reply
answerhappygod
Site Admin
Posts: 899603
Joined: Mon Aug 02, 2021 8:13 am

第3题(15分):给定矩阵(Given the following matrix) 1 -1 A = -1 -1 1 -1 -1 -1 1 问该矩阵是否可对角化?如可对角化,求出相应的对角矩阵A及可逆矩阵 P 使得 PAP=A,并求出A™

Post by answerhappygod »

 1
1 (28.08 KiB) Viewed 13 times
第3题(15分):给定矩阵(Given the following matrix) 1 -1 A = -1 -1 1 -1 -1 -1 1 问该矩阵是否可对角化?如可对角化,求出相应的对角矩阵A及可逆矩阵 P 使得 PAP=A,并求出A™ (Please show whether the matrix is diagonalizable. If it can be O diagonalized, please find its associated diagonal matrix A and an invertible matrix Psuch that P'AP=A, and further show the power matrix 4 of 4 with the exponent 100.)
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
Post Reply