Homework SourseGiven the set of linear equations 2x1x2 x3 4x4 10 4x1 2x
Given the set of linear equations:
2x1-x2 + x3 + 4x4 = 10
4x1 + 2x2 + 5x3- 2x4 = 1
-2x1 + 3x2 + x3 + 2x4 = 2
x1- x2 + 2x3 + x4 = 1
(a) Write the system of equations in the form Ax = b
(b) Use Guass-elemination method to solve for the unknowns
(c) Write your answer an a column vector
(d) Use matrix multiplication to verify your answer
2x1-x2 + x3 + 4x4 = 10
4x1 + 2x2 + 5x3- 2x4 = 1
-2x1 + 3x2 + x3 + 2x4 = 2
x1- x2 + 2x3 + x4 = 1
(a) Write the system of equations in the form Ax = b
(b) Use Guass-elemination method to solve for the unknowns
(c) Write your answer an a column vector
(d) Use matrix multiplication to verify your answer
Solution
(a)A= [2,-1,1,4 4,2,5,-2 -2,3,1,2 1,-1,2,1] b= [10 1 2 1] b)x1=2, x2=1, x3=-1, x4=2
