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Consider the following system of three linear equations and three unknowns. 2x1 2x2 x3 = 0 (I) x1 + x2 x3 = 2 (II) x1

Consider the following system of three linear equations and three unknowns.

2x1 2x2 x3 = 0 (I)

x1 + x2 x3 = 2 (II)

x1 + x2 + x3 = 1 (III)

1. Write the system in matrix notation.

2. Solve the linear system by inverting the coefficient matrix.

3. Use Cramer's Rule to solve for x1. (Show the working clearly please!)

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