Page 631 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
P. 631
(a) Find the matrix with respect to the bases and , where
(b) Verify that Formula 4a holds for every vector
in .
Let be the linear operator defined by
6.
(a) Find the matrix for T with respect to the basis , where
(b) Verify that Formula 5a holds for every vector in .
(c) Is T one-to-one? If so, find the matrix of . —that is,
Let be the linear operator defined by
7.
(a) Find with respect to the basis .
(b) Use the indirect procedure illustrated in Figure 8.4.5 to compute .
(c) Check the result obtained in part (b) by computing directly.
Let be the linear transformation defined by —that is,
8.
(a) Find with respect to the bases and
