The set 3 = B = is a basis of the space of upper-triangular 2 × 2 matrices. Find the coordinates of M [M]B= [8 -91 = with respect to this basis. The set B = {1 – 2x², 5 - x - 10x², 3x - 17+ 36x2} is a basis for P2. Find the coordinates of p(x) = 2x − 12 + 28x² relative to this basis: [p(x)]B=
The set 3 = B = is a basis of the space of upper-triangular 2 × 2 matrices. Find the coordinates of M [M]B= [8 -91 = with respect to this basis. The set B = {1 – 2x², 5 - x - 10x², 3x - 17+ 36x2} is a basis for P2. Find the coordinates of p(x) = 2x − 12 + 28x² relative to this basis: [p(x)]B=
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 37CR
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Question
![The set
3
=
B =
is a basis of the space of upper-triangular 2 × 2 matrices.
Find the coordinates of M
[M]B=
[8
-91
=
with respect to this basis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68065e9b-a71c-496a-bdfc-0d755e5e9bd8%2F36a8d5e8-d539-4bfd-96b0-f74dd995b4af%2F52uhscj_processed.png&w=3840&q=75)
Transcribed Image Text:The set
3
=
B =
is a basis of the space of upper-triangular 2 × 2 matrices.
Find the coordinates of M
[M]B=
[8
-91
=
with respect to this basis.
![The set B = {1 – 2x², 5 - x - 10x², 3x - 17+ 36x2} is a basis for P2. Find the coordinates of p(x) = 2x − 12 + 28x² relative to this basis:
[p(x)]B=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68065e9b-a71c-496a-bdfc-0d755e5e9bd8%2F36a8d5e8-d539-4bfd-96b0-f74dd995b4af%2F4bl5vgf_processed.png&w=3840&q=75)
Transcribed Image Text:The set B = {1 – 2x², 5 - x - 10x², 3x - 17+ 36x2} is a basis for P2. Find the coordinates of p(x) = 2x − 12 + 28x² relative to this basis:
[p(x)]B=
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