Find the characteristic equation of the given symmetric matrix,and then by inspection determine the dimensions of the eigenspaces.[6 3 3A = |3 6 3[3 3 6]The characteristicequation of matrix A is -° + 18 X² – 81 A + 108= 0 XLet A1 < A2.The dimension of the eigenspace2of A corresponding to A is equal toThe dimension of the eigenspace1of A corresponding to A, is equal to

Given :- The characteristics equation of the symmetric matrix A = 633363336

Find the characteristic equation of the given symmetric matrix, and then by inspection determine the dimensions of the eigenspaces. 6 3 3 A = 3 6 3 3 3 6 The characteristic equation of matrix A is -X+18 X² – 81 A+ 108 = 0 X Let A1 < A2. The dimension of the eigenspace of A corresponding to A1 is equal to 2 The dimension of the eigenspace 1 of A corresponding to A, is equal to

Find the characteristic equation of the given symmetric matrix, and then by inspection determine the dimensions of the eigenspaces. 6 3 3 A = 3 6 3 3 3 6 The characteristic equation of matrix A is -X+18 X² – 81 A+ 108 = 0 X Let A1 < A2. The dimension of the eigenspace of A corresponding to A1 is equal to 2 The dimension of the eigenspace 1 of A corresponding to A, is equal to

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CR: Review Exercises

Problem 64CR: a Find a symmetric matrix B such that B2=A for A=[2112] b Generalize the result of part a by proving...

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