Page 518 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(c) Check your work by computing directly.

Repeat the directions of Exercise 8 with the same vector w, but with
9.

Consider the bases and for , where
10.

(a) Find the transition matrix from to B.

(b) Find the transition matrix from B to .

(c) Compute the coordinate vector , where , and use 9 to compute .

(d) Check your work by computing directly.

Let V be the space spanned by and .
11.

(a) Show that and form a basis for V.

(b) Find the transition matrix from to .

(c) Find the transition matrix from B to .

(d) Compute the coordinate vector , where , and use 9 to obtain .

(e) Check your work by computing directly.

If P is the transition matrix from a basis to a basis B, and Q is the transition matrix from B to a basis C, what is the
12. transition matrix from to C? What is the transition matrix from C to ?

Refer to Section 4.4.
13.