11.1      Determine the matrix inverse for the following system: 10x1 + 2x2 ? x3 = ?27 ?3x1 ?6x2 +2x3 =...

60.1K

Verified Solution

Question

Advance Math

11.1      Determine the matrix inversefor the following system:

10x1 +2x2 ? x3 = ?27

?3x1?6x2 +2x3 = ?61.5

x1   +x2   +5x3 =?21.5

Check your results by verifying that[A][A]-1 = [I ]. Donot use a pivoting strategy.

Calculate A^-1 using the LU decomposition ofA. Use the Matlab lu command to perform the LUdecomposition. Use the Matlab backslash operator to performintermediate linear system solutions. Use Matlab matrixmultiplication to verify that A^-1 was correctly calculated.

Answer & Explanation Solved by verified expert
3.6 Ratings (619 Votes)
MATLAB Code close all clear clc format short Given system of equations when written in matrix form Ax b A 10 2 1 3 6 2 1 1 5 b 27 615 215 and x x1 x2 x3 LU    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students