1) EX- 5.2

Find the angle between the vectors. (Round your answer to two decimal places.)

u = (3, 0),v = (4, 5),u, v= 2u₁v₁ + u₂v₂

= radians

2) EX-4.7

Consider the following.

B = {(7, 12, 6), (2, 4, 2), (4, 8, 5)}, B' = {(3, 2, 2), (1, 1, 1), (2, 2, 1)},

[x]_B' =[ 1 ]

[ 2]

[ 1]

(a) Find the transition matrix from B to B'.

P¹ =

(b) Find the transition matrix from B' to B.

P =

(c) Verify that the two transition matrices are inverses of each other.

PP¹ =

(d) Find the coordinate matrix [x]_B, given the coordinate matrix [x]_B'

_{3) EX 7.3}

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