QUESTION I A system of three linear equations is given below: 2x1+ 4x2+ 2x3 8 %3D 3x1-2x3-4x2 = 2 5x, + 3x2 +5x3 =-1 (а) Write the system of the linear equations above in a matrix form A.x b (b) Find the determinant of the matrix A (c) Form the cofactor matrix C of A (d) Use the results of (b) and (c) above and find the inverse matrix of A.
QUESTION I A system of three linear equations is given below: 2x1+ 4x2+ 2x3 8 %3D 3x1-2x3-4x2 = 2 5x, + 3x2 +5x3 =-1 (а) Write the system of the linear equations above in a matrix form A.x b (b) Find the determinant of the matrix A (c) Form the cofactor matrix C of A (d) Use the results of (b) and (c) above and find the inverse matrix of A.
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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Transcribed Image Text:QUESTION I
A system of three linear equations is given below:
2x1 + 4x2 + 2x3 8
3x1-2x3-4x2 = 2
5x1 + 3x2 +5x3 =-1
(a)
Write the system of the linear equations above in a matrix form A.x b
(b)
Find the determinant of the matrix A
(c)
Form the cofactor matrix Cof A
(d)
Use the results of (b) and (c) above and find the inverse matrix of A.
Use the inverse method and evaluate the value of x1,X2 and X3 of the above system
of linear equations.
(e)
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