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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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