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Exercise 1.8.6

Avg difficulty 3.0

Solve each of the following systems of equations with scalars in the complex numbers.

(a) [111+i21+i2+i3i3+2i](b) [1i1+i−1+2i1+i21−i4+4i1−1+i−i0](a)~{}\left[\begin{array}{ccc|c}1&1&1+i&2\\ 1+i&2+i&3i&3+2i\\ \end{array}\right]\quad(b)~{}\left[\begin{array}{ccc|c}1&i&1+i&-1+2i\\ 1+i&2&1-i&4+4i\\ 1&-1+i&-i&0\\ \end{array}\right]

Selinger, Matrix Theory and Linear Algebra, Systems of linear equations, Fields, Exercise 1.8.6

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Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.