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LINEAR EQUATIONS; VECTORS, MATRICES, AND DETERMINANTS — Mary Boas
Mathematics — Methods · row-reduction-complex-equations
Problem Use row reduction to find complex numbers u u u v v v w w w i = − 1 i = \sqrt{-1} i = − 1 { 2 u − i v + 2 ( 1 − i ) w = 3 ( 1 + i ) 4 i u + 3 ( 1 + i ) w = 3 i − 5 2 ( 1 + i ) v + ( 5 + 2 i ) w = 1 + 2 i \begin{cases} 2u - iv + 2(1-i)w = 3(1+i) \\ 4iu + 3(1+i)w = 3i-5 \\ 2(1+i)v + (5+2i)w = 1+2i \end{cases} ⎩ ⎨ ⎧ 2 u − i v + 2 ( 1 − i ) w = 3 ( 1 + i ) 4 i u + 3 ( 1 + i ) w = 3 i − 5 2 ( 1 + i ) v + ( 5 + 2 i ) w = 1 + 2 i Browse the problem library