*
katifund.orgSolutions

Linear Algebra and also Its Applications, 5th Edition

Authors: David C. Lay, Steven R. Lay, Judi J. McDonald

ISBN-13: 978-0321982384

Get Solutions

We have actually solutions for her book!

See our systems for question 1E from thing 1.5 indigenous Lay's linear Algebra and Its Applications, fifth Edition.

You are watching: Determine if the system has a nontrivial solution. try to use as few row operations as possible.


Chapter:1.11.21.31.41.51.61.71.81.91.101.SE2.12.22.32.42.52.62.72.82.92.SE3.13.23.33.SE4.14.24.34.44.54.64.74.84.94.SE5.15.25.35.45.55.65.75.85.SE6.16.26.36.46.56.66.76.86.SE7.17.27.37.47.57.SE8.18.28.38.48.58.6
Problem:1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E
In exercises 1-4, identify if the system has a nontrivial solution. Shot to usage as couple of row operations together possible...
Step 1 of 2

Quisque eget sagittis purus. Nunc sagittis nisi magna, in mollis lectus ullamcorper in. Sed sodales risus sed arcu efficitur, id rutrum ligula laoreet. Quisque molestie purus sed consequat fermentum. Fusce ut lectus lobortis, viverra sem nec, rhoncus justo. Phasellus malesuada, ipsum ac varius euismod, purus nulla volutpat nunc, eu fermentum odio justo porttitor libero. Quisque viverra arcu nibh, in ~ facilisis tortor ornare non. Etiam i would porttitor arcu, ut eleifend nisi. Ut sit amet enim eu lacus egestas tristique eleifend sit amet lectus.

Step 2 that 2

Nam consectetur iaculis dui ac tempor. Nulla a nisi nunc. Suspendisse semper mauris pretium, suscipit sapien nec, hendrerit justo. In hac habitasse platea dictumst. Praesent laoreet gravida posuere. Maecenas interdum ante nec libero pellentesque, sit amet commodo nisl auctor. Phasellus facilisis, lorem et fringilla varius, mi felis rutrum diam, quis ultricies mauris nisl nec nisl. Fusce lacinia tincidunt urna sit amet vehicula. Proin sed dui vitae nisi vehicula imperdiet eu a lorem. Praesent in ~ ante nibh. Quisque identifier elit ac purus vestibulum auctor. Etiam ac tincidunt velit. Aenean accumsan risus tempor tincidunt luctus.

See more: How Is The Crucible And The Red Scare Or The Totalitarian State?


Step 1Given device of Equations: \<\beginarrayl2x_1 - 5x_2 + 8x_3 = 0\\ - 2x_1 - 7x_2 + x_3 = 0\\4x_1 + 2x_2 + 7x_3 = 0\endarray\>We have to determine if the system has a nontrivial solution. Step 2: The Augmented Form\\>Step 3: lessened Echelon Form\<\beginarraylM = \left< \beginarray*20c2& - 5&8&0\\ - 2& - 7&1&0\\4&2&7&0\endarray \right>\\\\ = \left< \beginarray*20c2& - 5&8&0\\0& - 12&9&0\\0&12& - 9&0\endarray \right>\,\,\,\left\ R_3 = R_3 - 2R_1;\,\,R_2 = R_2 + R_1 \right\\\\\ = \left< \beginarray*20c2& - 5&8&0\\0& - 12&9&0\\0&0&0&0\endarray \right>\,\,\,\left\ R_3 = R_3 + R_2 \right\\endarray\>Step 4: general SolutionFrom the diminished echelon form, we can see the the critical row has actually all 0 entries, making one totally free variable. If over there is any complimentary variable in system of equation, the system, has actually a no trivial solution.ANSWER NON-TRIVAL SOLUTION