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1 Use Cramer’s rule to determine the solution of the system of equations: 4x1 + 3x2...

1 Use Cramer’s rule to determine the solution of the system of equations:

4x1 + 3x2 + 2x3 = 8

−x1 + 2x3 = 12

3x1 + 2x2 + x3 = 3

2. Consider the following system of equations involving a parameter k:

(2 − k)x1 + kx2 = 4

kx1 + (3 − k)x2 = 3

(a) For what value(s) of the parameter k does the system have a unique solution?

(b) Solve the system of equations using Cramer’s rule.

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