Let-A-matrices-order-2-2-the-fill-tr-A-2-tr-A-2-a-Find-det-A-b-If-A-can-t-diagonalizing-find-tr-A- Tinku Tara June 4, 2023 Matrices and Determinants 0 Comments FacebookTweetPin Question Number 54968 by gunawan last updated on 15/Feb/19 LetAmatricesorder2×2thefilltr(A2)=[tr(A)]2a.Finddet(A)b.IfAcan′tdiagonalizing,findtr(A) Answered by kaivan.ahmadi last updated on 15/Feb/19 letA=[abcd]⇒A2=[a2+bcab+bdcd+adbc+d2]⇒a2+bc+bc+d2=(a+d)2=a2+2ad+d2⇒2bc=2ad⇒bc=ada.detA=ad−bc=0 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Let-x-1-x-2-x-3-the-number-real-x-1-lt-x-2-lt-x-3-T-P-2-R-3-defined-with-rule-T-P-x-1-P-x-2-P-x-3-for-all-P-x-P-2-a-Prove-that-T-form-linear-transformation-b-Next Next post: Let-is-value-of-characteristic-matrices-P-the-fill-P-t-P-2-find-all-the-posible- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.
![Let A matrices order 2×2 the fill tr(A^2 )=[tr(A)]^2 a. Find det(A) b. If A can′t diagonalizing, find tr(A)](https://www.tinkutara.com/question/Q54968.png)
![let A= [((a b)),((c d)) ]⇒A^2 = [((a^2 +bc ab+bd)),((cd+ad bc+d^2 )) ] ⇒a^2 +bc+bc+d^2 =(a+d)^2 =a^2 +2ad+d^2 ⇒ 2bc=2ad⇒bc=ad a. detA=ad−bc=0](https://www.tinkutara.com/question/Q54981.png)