Given the linear system 2x 1 6x 2 = 3, 3x 1 x 2 = 3/2 a. Find value(s) of for which the system has no solutions. b. Find value(s) of for which the system has an infinite number of solutions. c. Assuming a unique solution exists for a given , find the solution.
Given the linear system
2x1 − 6αx2 = 3,
3αx1 − x2 = 3/2
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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