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1. Choose h and k such that the system has (a) no solution, (b) a unique solution and (c) many solutions.
a) x_1 + hx_2 = 2
4x_1 + 8x_2 = k
b) x_1 + 3x_2 = 2
3x_1 + hx_2 = k
2. Explain existence and uniqueness and give examples using a matrix.
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