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Back to Elementary operations

Exercise 1.3.6

Avg difficulty 3.0

Write the following system of linear equations as an augmented matrix. Caution: you first have to simplify and rearrange the equations so that “like” variables are lined up in columns. Write the variables in the order xx, yy, zz.

x−3z+2y=56−x=4+y−z2x+3=x+3y.\begin{array}{c}x-3z+2y=5\\ 6-x=4+y-z\\ 2x+3=x+3y.\end{array}

Selinger, Matrix Theory and Linear Algebra, Systems of linear equations, Elementary operations, Exercise 1.3.6

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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.