Let B, D be the following two bases of R³: a) Find the change of coordinates matrix PDB from the basis B to D. B = D = How to enter matrices. Martices should be entered row by row, enclosing each row in square brackets. There must be additional square brackets at the beginning and at the end of the whole matrix. For example, if you want to enter the matrix then you should do it as follows: [[2, -3/2, 4], [0, 1/2, 2]] Do not forget about commas between matrix entries and between rows. Enter the matrix PD+B: then you should do it as follows: [[2, -3/2, 4], [0, 1/2, 2]] Do not forget about commas between matrix entries and between rows. Enter the matrix PD-B: b) Let v be a vector in R3 whose vector of coordinates relative to the basis B is given by 4 Find the vector [v]D of coordinates of v relative to the basis of D. Enter the vector [v]D in the form [C1, C2, C3]: [V]B=
Let B, D be the following two bases of R³: a) Find the change of coordinates matrix PDB from the basis B to D. B = D = How to enter matrices. Martices should be entered row by row, enclosing each row in square brackets. There must be additional square brackets at the beginning and at the end of the whole matrix. For example, if you want to enter the matrix then you should do it as follows: [[2, -3/2, 4], [0, 1/2, 2]] Do not forget about commas between matrix entries and between rows. Enter the matrix PD+B: then you should do it as follows: [[2, -3/2, 4], [0, 1/2, 2]] Do not forget about commas between matrix entries and between rows. Enter the matrix PD-B: b) Let v be a vector in R3 whose vector of coordinates relative to the basis B is given by 4 Find the vector [v]D of coordinates of v relative to the basis of D. Enter the vector [v]D in the form [C1, C2, C3]: [V]B=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let B, D be the following two bases of R³:
a) Find the change of coordinates matrix PDB from the basis B to D.
B =
D =
How to enter matrices.
Martices should be entered row by row, enclosing each row in square brackets. There must be additional square brackets at the beginning and at the end of the whole matrix.
For example, if you want to enter the matrix
then you should do it as follows:
[[2, -3/2, 4], [0, 1/2, 2]]
Do not forget about commas between matrix entries and between rows.
Enter the matrix PD+B:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4498e0d-5915-421f-a7a7-3ad8a56e2358%2F70b8fb9c-b805-4f3f-9c54-4d4e204aa4f3%2F4olty2m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let B, D be the following two bases of R³:
a) Find the change of coordinates matrix PDB from the basis B to D.
B =
D =
How to enter matrices.
Martices should be entered row by row, enclosing each row in square brackets. There must be additional square brackets at the beginning and at the end of the whole matrix.
For example, if you want to enter the matrix
then you should do it as follows:
[[2, -3/2, 4], [0, 1/2, 2]]
Do not forget about commas between matrix entries and between rows.
Enter the matrix PD+B:
![then you should do it as follows:
[[2, -3/2, 4], [0, 1/2, 2]]
Do not forget about commas between matrix entries and between rows.
Enter the matrix PD-B:
b) Let v be a vector in R3 whose vector of coordinates relative to the basis B is given by
4
Find the vector [v]D of coordinates of v relative to the basis of D.
Enter the vector [v]D in the form [C1, C2, C3]:
[V]B=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4498e0d-5915-421f-a7a7-3ad8a56e2358%2F70b8fb9c-b805-4f3f-9c54-4d4e204aa4f3%2Fo90o9ds_processed.jpeg&w=3840&q=75)
Transcribed Image Text:then you should do it as follows:
[[2, -3/2, 4], [0, 1/2, 2]]
Do not forget about commas between matrix entries and between rows.
Enter the matrix PD-B:
b) Let v be a vector in R3 whose vector of coordinates relative to the basis B is given by
4
Find the vector [v]D of coordinates of v relative to the basis of D.
Enter the vector [v]D in the form [C1, C2, C3]:
[V]B=
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