need help with this matrix algebra question LetT: R²→R², [21] → [-5x₁ +9x₂4x1 - 7x2Show that T is invertible, and find a formula for T-¹.

Answered: Image /qna-images/answer/cf5f06ef-9c1b-4d3f-90eb-6d86004a8bbf.jpg

Answered: Let T: R²→R², [2] → [ Show that T is…

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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mpler Version) - Google Chrome Homework.aspx?homeworkId=642383341&questionid=15&flushed=true&cld=7275439¢erwin=yes Homework (Simpler Use the fact that if A= $ A= -4 -4 -3 -4 4 OA. A1- OB. The matrix does not have an inverse. example Ask my instructor a b c d Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Ei % then A = (Type an integer or a simplified fraction for each matrix element.) .aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandlesLocale=true# 5 fo fe d- 6 a RTY & Question 15, *6.4.15 7 1 d-b to find the inverse of the matrix, if possible. Check that AA¹ =12 and A ¹A=1₂ ad-bc -C a 1 fa 144 * to bl 8 ( > Fo 9 DDI for K O P insert H HW Score: 75%, 12 of 16 points O Points: 0 of 1 { 67°F Cloudy prt sc Shaikh Amir ( 4 Clear all delete backspace
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Let T: R²→R², [2] → [ Show that T is invertible, and find a formula for T-¹. -5x1 +9x2 4x1 - 7x₂