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Exercise 1.2.1

Avg difficulty 3.0

Which of the following equations are linear?

$2x-3y+4z=-10$
$2.123x_{1}+5.541x_{2}-9.101x_{3}=11.012$
$x^{2}+y^{2}+z^{2}=1$
$\frac{1}{\sqrt{2}}x+4^{3}y=\sin(\frac{\pi}{3})$
$x+yz=3$

Selinger, Matrix Theory and Linear Algebra, Systems of linear equations, Algebraic view of systems of equations, Exercise 1.2.1

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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.