AI Tutor
Back to Geometry of Linear Maps

Exercise 1

Avg difficulty 3.0

Use the H=PBQH=PBQ decomposition to find the combination of dilations, flips, skews, and projections that produces the map h ⁣:R3→R3h\colon\mathbb{R}^{3}\to\mathbb{R}^{3} represented with respect to the standard bases by this matrix.

H=(121360122)H=\begin{pmatrix}1&2&1\\ 3&6&0\\ 1&2&2\end{pmatrix}

Hefferon, Linear Algebra, Maps Between Spaces, Geometry of Linear Maps, Exercise 1

AI Tutor

Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.