Page 290 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Operator Illustration Equations Standard Matrix
Contraction with factor k on

Dilation with factor k on

Table 9 Illustration Equations Standard Matrix

Operator
Contraction with factor k on

Dilation with factor k on

Rotations in

A familiar example of a rotation in is the rotation of the Earth about its axis through the North and South Poles. For

simplicity, we will assume that the Earth is a sphere. Since the Sun rises in the east and sets in the west, we know that the
Earth rotates from west to east. However, to an observer above the North Pole the rotation will appear counterclockwise, and