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=

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Chapter2: Matrices
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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.
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=
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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