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Question 19 Suppose that A and B are n x n matrices. If A and B are similar ma OdA= P¹BP. for all invertible matrix P O Statements a, b, cand d O al matrices A and B have the same characteristic polynomial and same ei Statements, and d © Statements a cand d dif A is similar to B. then B is similar to A as well Ob(A) cuals det(B) provided they have the same main diagonal Ⓒ Statements abandd

Question 19 Suppose that A and B are n x n matrices. If A and B are similar ma OdA= P¹BP. for all invertible matrix P O Statements a, b, cand d O al matrices A and B have the same characteristic polynomial and same ei Statements, and d © Statements a cand d dif A is similar to B. then B is similar to A as well Ob(A) cuals det(B) provided they have the same main diagonal Ⓒ Statements abandd

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 19 Suppose that A and B are n x n matrices. If A and B are similar matrices, which of the following statements is(are) correct? OdA= P¹BP, for all invertible matrix P O Statements a, b, c and d O al matrices A and B have the same characteristic polynomial and same eigenvalues Statements a, and d © Statements & candid dif Ais similar to B. then B is similar to A as well Ⓒ bidet(A) cquals det(B) provided they have the same main diagonal entries Statements a, band d
Transcribed Image Text:Question 19 Suppose that A and B are n x n matrices. If A and B are similar matrices, which of the following statements is(are) correct? OdA= P¹BP, for all invertible matrix P O Statements a, b, c and d O al matrices A and B have the same characteristic polynomial and same eigenvalues Statements a, and d © Statements & candid dif Ais similar to B. then B is similar to A as well Ⓒ bidet(A) cquals det(B) provided they have the same main diagonal entries Statements a, band d
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