QUESTION I A system of three linear equations is given below: 2x1 +4x2 + 2x3 8 3x1-2x3-4x2 = 2 5x, +3x2 + 5x3 =-1

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.4: Determinants And Cramer's Rule
Problem 68E
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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)
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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