Consider the 2 2 linear system (A + i B)(x + iy) = c + id with complex entries in
Chapter 6, Problem 6.3.14(choose chapter or problem)
Consider the 2 2 linear system (A + i B)(x + iy) = c + id with complex entries in component form: (a11 + ib11)(x1 + iy1) + (a12 + ib12)(x2 + iy2) = c1 + id1, (a21 + ib21)(x1 + iy1) + (a22 + ib22)(x2 + iy2) = c2 + id2. a. Use the properties of complex numbers to convert this system to the equivalent 4 4 real linear system Ax By = c, Bx + Ay = d. b. Solve the linear system (1 2i)(x1 + iy1) + (3 + 2i)(x2 + iy2) = 5 + 2i, (2 + i)(x1 + iy1) + (4 + 3i)(x2 + iy2) = 4 i.
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