1. Use Gauss-Jordan elimination to show that the matrix A = -1 -2 1 2 3 3 7 -12 is invertible,
1. Use Gauss-Jordan elimination to show that the matrix A = -1 -2 1 2 3 3 7 -12 is invertible,
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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Question
Transcribed Image Text:1. Use Gauss-Jordan elimination to show that the matrix A =
and write A as a product of elementary matrices.
-1
-2
4
13
2
7
-3 -12
is invertible,
Expert Solution
Step 1
Using gauss Jordan elimination method we calculate inverse of the matrix ..
We take a identity matrix of the right of given matrix
And with the help of row operations we changes our given matrix in identity matrix..and the right side matrix is called inverse of the matrix
Step by step
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