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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™
Posted: Thu May 26, 2022 9:52 am
by answerhappygod
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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.)