Question: Given the linear system x 1 x 2 + x 3 = 2, x 1 + 2x 2 x 3 = 3, x

Given the linear system x1 − x2 + αx3 = −2, −x1 + 2x2 − αx3 = 3, αx1 + x2 + x3 = 2.

a. Find value(s) of α for which the system has no solutions.

b. Find value(s) of α for which the system has an infinite number of solutions.

c. Assuming a unique solution exists for a given α, find the solution.

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