Page 633 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(d) .
Use the formula obtained in (c) to compute

11. Let be the matrix of with respect to the basis , where ,
(a) Find ,. .

, , and

(b) Find , , and .

(c) Find a formula for .

(d) Use the formula obtained in (c) to compute .

Let be the linear transformation defined by
12. be the linear operator defined by

and let and be the standard bases for and .

Let

(a) Find , , and .

(b) State a formula relating the matrices in part (a).

(c) Verify that the matrices in part (a) satisfy the formula you stated in part (b).

Let be the linear transformation defined by
13. be the linear transformation defined by

and let

Let , , and .

(a) Find , , and .