Page 589 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
P. 589
Figure 8.1.6
The composition of three linear transformations.
Exercise Set 8.1
Click here for Just Ask!
Use the definition of a linear operator that was given in this section to show that the function given by the
given by the
1. formula is a linear operator.
Use the definition of a linear transformation given in this section to show that the function
2. formula is a linear transformation.
In Exercises 3–10 determine whether the function is a linear transformation. Justify your answer.
, where V is an inner product space, and .
3.
, where is a fixed vector in and .
4.
, where B is a fixed matrix and .
5.
, where .
6.
, where .
7.
, where
8.
(a)
(b)
, where
9.
(a)
