4. (a) Using Gauss-Jordan-elimination process calculate the inverse of matrix 1 -1 5 A = 2 1 2 -2 -2 1/ Verify that the calculations were correct! (b) Using the calculations in part (a) find all solutions to the system of linear equation x- y+ 5z = 2 2x + y+ 2z = -1 -2·x - 2y + z = 2 Verify the solution is fit to the system!

4. (a) Using Gauss-Jordan-elimination process calculate the inverse of matrix 1 -1 5 A = 2 1 2 -2 -2 1/ Verify that the calculations were correct! (b) Using the calculations in part (a) find all solutions to the system of linear equation x- y+ 5z = 2 2x + y+ 2z = -1 -2·x - 2y + z = 2 Verify the solution is fit to the system!

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

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4. (a) Using Gauss-Jordan-elimination process calculate the inverse of matrix
1 -1 5
A =( 2 1 2
-2 -2 1/
Verify that the calculations were correct!
(b) Using the calculations in part (a) find all solutions to the system of linear equation
x- y+ 5z = 2
2x + y + 2z = -1
-2·x - 2y +z = 2
Verify the solution is fit to the system!

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