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Exercise 1

Avg difficulty 2.5

Consider the linear system x+2y−z=13x+2y+2z=7−x+4z=−3\begin{alignedat}{4} x & {}+{} & 2y & {}-{} & z & {}={} & 1 \\ 3x & {}+{} & 2y & {}+{} & 2z & {}={} & 7 \\ -x & & & {}+{} & 4z & {}={} & -3 \\ \end{alignedat} Write this system as an augmented matrix and use Sage to find a description of the solution space.

Austin, Understanding Linear Algebra, §1.3 Computation with Sage, Exercise 1

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Adapted from Understanding Linear Algebra © 2023 David Austin. Licensed under CC BY 4.0. Source: Understanding Linear Algebra. Imported at revision 3e6dced.