Consider the following two ordered bases of R³: {(1, 1, 1), (–1,0, –-1), (3, 1, 2)}, {(2, 1, –1), (2, 2, –-1), (3, 2, –1)}. В a. Find the change of basis matrix from the basis B to the basis C. [id; = |-2 1 -1 -2 5 7 [ 3 3 4 b. Find the change of basis matrix from the basis C to the basis B. [id = -3 2 -5 -1 2 -6 3 -3 7

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...
icon
Related questions
Question
100%

Please solve in the same format as the question given and let me know what to enter in the box. DO NOT type out the answer, I will give a good thumbs up rating if answered correctly.

3.2 Question 8

Consider the following two ordered bases of R3:
B
{(1, 1, 1), (–1,0, –1), (3, 1, 2)},
с %3D {(2,1, —1), (2, 2, —1), (3, 2, -1}}.
a. Find the change of basis matrix from the basis B to the basis C.
[id
[-2
1
-1
-2
5
6.
7
[ 3
3
4
b. Find the change of basis matrix from the basis C to the basis B.
[id]%
[ -3
-5
-1
2
-6
[ 3
-3
7
Transcribed Image Text:Consider the following two ordered bases of R3: B {(1, 1, 1), (–1,0, –1), (3, 1, 2)}, с %3D {(2,1, —1), (2, 2, —1), (3, 2, -1}}. a. Find the change of basis matrix from the basis B to the basis C. [id [-2 1 -1 -2 5 6. 7 [ 3 3 4 b. Find the change of basis matrix from the basis C to the basis B. [id]% [ -3 -5 -1 2 -6 [ 3 -3 7
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer