Negative marking applies. Consider the linear operator Pin a 3 dimensional linear vector space with basis functions (). P has the following action on the basis function: Pê, ê. Pêsê, and Pe Which of the following is the matrix from of P? OP OP OP [010] 001 00 0 100 Loo 10 01 0 0 100 Now select which of the following statements must be true: OP-I, where I is the identity matrix. OP³ès-é OP³ės - ēs. ²ė, -és □p³ès - Pès-és- OP³ė, -és- ope - I, where I is the identity matrix and is a positive integer. Op³ - I, where I is the identity matrix. OP'è - I, where I is the identity matrix and is a positive integer.

Negative marking applies. Consider the linear operator Pin a 3 dimensional linear vector space with basis functions (). P has the following action on the basis function: Pê, ê. Pêsê, and Pe Which of the following is the matrix from of P? OP OP OP [010] 001 00 0 100 Loo 10 01 0 0 100 Now select which of the following statements must be true: OP-I, where I is the identity matrix. OP³ès-é OP³ės - ēs. ²ė, -és □p³ès - Pès-és- OP³ė, -és- ope - I, where I is the identity matrix and is a positive integer. Op³ - I, where I is the identity matrix. OP'è - I, where I is the identity matrix and is a positive integer.

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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Question

100%

Consider the linear operator P^P^ in a 3 dimensional linear vector space with basis functions {e^i}{e^i}. P^P^ has the following action on the basis function: P^e^1=e^3P^e^1=e^3, P^e^2=e^1P^e^2=e^1, and P^e^3=e^2P^e^3=e^2.
Which of the following is the matrix from of P^P^?

Negative marking applies.
Consider the linear operator Pin a 3 dimensional linear vector space with basis functions (). P has the following action on the basis function:
Pê, ê. Pêsê, and Pe
Which of the following is the matrix from of P?
OP
OP
OP
[010]
001
00
0
100
Loo
10
01 0
0
100
Now select which of the following statements must be true:
OP-I, where I is the identity matrix.
OP³ès-é
OP³ės - ēs.
²ė, -és
□p³ès - Pès-és-
OP³ė, -és-
ope
- I, where I is the identity matrix and is a positive integer.
Op³ - I, where I is the identity matrix.
OP'è
- I, where I is the identity matrix and is a positive integer.

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Once you do Pe1 = 0•e1 + 0•e2 + 1•e3 and then the same for Pe2 and Pe3, how do you know the matrix is

0 1 0

0 0 1

1 0 0

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