Page 398 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(c) (0, 0), (1, 3)

(d) (3, 9), (−4, −12)

Which of the following sets of vectors are bases for ?
3.

(a) (1, 0, 0), (2, 2, 0), (3, 3, 3)

(b) (3, 1, −4), (2, 5, 6), (1, 4, 8)

(c) (2, 3, 1), (4, 1, 1), (0, −7, 1)

(d) (1, 6, 4), (2, 4, −1), (−1, 2, 5)

Which of the following sets of vectors are bases for ?
4.

(a)

(b)

(c)

(d)

Show that the following set of vectors is a basis for .
5.

Let V be the space spanned by ,, .
6. is not a basis for V. for

(a) Show that

(b) Find a basis for V.

Find the coordinate vector of w relative to the basis
7.

(a)