Find X and A that diagonalize A =9.X:=A =[0.60.910.4 0.1What is the limit of XAX-1 as k → ∞:A%In the columns of this limiting matrix you see the?

Answered: Find X and A that diagonalize A = 9. X:…

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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20150 711 201504 711241504711 711 2015 (2) 711, 504711. 2015 2015047 (a, a, a), V₂ = ( 2015 Leto1504711. a be a real number 2015 711 2015 (6) 30 (a, a L 2015 For 1504711 20151, a +1) and v3 = (a, a, a +1) linearly independent? 2015 For each value of a, find the dimension 1509 711 2015047) 471! which value504711- of a are 201 et150471-201 by the vectors (V1, V2, V3} from part (a). 471 - 201 711 2015 (c) 711 201504/ vectors V₁ L 0150 R32 70-1 20150- 2015047 For which values of 47.11 07-2015047 part ( 771 20150471 3 spanne 20150471120the subspace of R³ s 201-(a) do 2, V3 form 4711 20150 in a 20150471 20150471 00711. a DA711. 201504 basis for TDA711. 04711 20150
1 k 1 0 For the matrix B = (where k is a real number), find all values of k where Bis diagonalizable.
Need help with part d). Please explain each step. Thank you :)
A= 2 a a 2 a 0 0 D= 2 3 c. Compute Ou so that A-is invertible a. A is it. d. Compute x so that C is that C is diagonalizable. Be sure to explain why his satisfied in each oase and other values don't make sense
please solve
#22
Complete the matrix A so that it is Hermitian. 1 i 7 – 3i | A = -3 1 4 X = y = ||
Let f(x, y) = xy² and r(t) = (¹/1²,t³). Calculate Vf. (Use symbolic notation and fractions where needed. Express numbers in exact form. Give your answer in the form (*, *). ) Vf= Calculate r' (t). (Use symbolic notation and fractions where needed. Express numbers in exact form. Give your answer in the form (*, *). ) r' (t) = Use the Chain Rule for Paths to evaluateƒ(r(t)) at t = 1.5. (Use decimal notation. Give your answer to three decimal places.) d dt - ƒ(r(1.5)) = = Use the Chain Rule for Paths to evaluate ƒ(r(t)) at t = -1.7. (Use decimal notation. Give your answer to three decimal places.) d dt d f(r(-1.7)) =

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Find X and A that diagonalize A = 9. X: = A = [0.6 0.91 0.4 0.1 What is the limit of XAX-1 as k → ∞: A% In the columns of this limiting matrix you see the ?