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Consider the following system of equations. 2 x 1 + x 2 + x 3 = b 1 x 1 3 x 2 + 4

Consider the following system of equations.

2x1 + x2 + x3 = b1
x1 3x2 + 4x3 = b2
x1 + x3 = b3

(a)Write the system of equations as a matrix equation.

x1
x2
x3

=

b1
b2
b3

(b)Solve the system of equations by using the inverse of the coefficient matrix.(i)where

b1=2,b2=8,b3=4

(x1,x2,x3) =

(ii)where

b1=3,b2=4,b3=0

(x1,x2,x3) =

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