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

Consider the following system of equations.

x1 + x2 + x3 = b1
x1 x2 + x3 = b2
x1 2x2 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=3,b2=3,b3=0

(x1,x2,x3) =

(ii)where

b1=2,b2=5,b3=1

(x1,x2,x3) =

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